In a recent year, 34.1% of all registered doctors were female. If there were 46,200 female registered doctors that year, what was the total number of registered doctors?

Round your answer to the nearest whole number.

We are given the percentage of female registered doctors and the actual number of female doctors. We can set up an equation to find the total number of registered doctors.

Let the total number of registered doctors be \( T \).

We know that 34.1% of all doctors were female, so:

\[
34.1\% \times T = 46,200
\]

This can be written as:

\[
0.341 \times T = 46,200
\]

To find \( T \), divide both sides by 0.341:

\[
T = \frac{46,200}{0.341}
\]

Let's calculate that.

\[
T \approx 135,484
\]

Therefore, the total number of registered doctors is approximately **135,484**.

Would you like more details, or do you have any questions?

Here are 5 related questions to consider:
1. If the percentage of female doctors increased to 40%, how many female doctors would there be given the same total number?
2. What percentage of the total would male doctors represent in this scenario?
3. How many more female doctors would be needed to make up 50% of the total?
4. If the number of female doctors had been 50,000 instead, what would the total number of doctors be?
5. How would the total change if the percentage of female doctors was reduced to 30%?

**Tip:** When solving percentage problems, converting percentages to decimals helps simplify the calculation.

In a recent year, 34.1% of all registered doctors were female. If there were 46,200 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.

Learn how to calculate the total number of registered doctors given that 34.1% are female and there are 46,200 female doctors. This problem covers key concepts of percentages, proportions, and basic algebra, suitable for Grades 6-8.

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