Let's break down the problem step by step.

1. Determine the total number of students who dropped out:

   • Let the total number of students in the class be $N$.
   • 32% of the students dropped out, so the number of students who dropped out is $0.32N$.

2. Calculate the number of students who went abroad:

   • 3% of the students who dropped out went abroad.
   • The number of students who went abroad is $0.03 \times 0.32N = 0.0096N$.

3. Calculate the number of students who remained (didn't go abroad):

   • The number of students who remained is $0.32N - 0.0096N = 0.3104N$.

4. Determine how many students are in probation:

   • 60% of the students who remained are in probation.
   • The number of students in probation is $0.60 \times 0.3104N = 0.18624N$.

5. Determine the number of students who are not in probation:

   • The problem states that the remaining students, who are not in probation, number 12.
   • The number of students who are not in probation is $0.3104N - 0.18624N = 0.12416N$.
   • According to the problem, $0.12416N = 12$.

6. Solve for $N$: $0.12416N = 12$ $N = \frac{12}{0.12416} \approx 96.63 \text{ (approximately 97 students in the class)}$

7. Calculate the number of students in probation: $\text{Number of students in probation} = 0.18624 \times 96.63 \approx 18 \text{ (approximately 18 students)}$

Final Answer:

Approximately 18 students from the class are in probation.

Would you like more details or have any other questions?

Here are 5 related questions:

1. What percentage of the total class is on probation?
2. How many students went abroad out of those who dropped out?
3. What is the total number of students who did not drop out?
4. How would the number of students in probation change if 5% of the dropouts went abroad instead of 3%?
5. What percentage of the students who remained (didn't go abroad) are not in probation?

Tip: When solving problems involving percentages, it's helpful to keep track of each step to avoid confusion, especially when dealing with percentages of percentages.