To solve this problem, we need to use the concept of ratios.

The ratio of red to blue marbles is 4:7. This means that for every 4 red marbles, there are 7 blue marbles.

1. First, find the total parts in the ratio: $4 \, (\text{red}) + 7 \, (\text{blue}) = 11 \, \text{parts}$

2. We are given that there are 132 marbles in total. To find the value of one part, divide the total number of marbles by the total parts: $\text{Value of one part} = \frac{132}{11} = 12$

3. Now, to find the number of red marbles, multiply the number of parts for red marbles by the value of one part: $\text{Red marbles} = 4 \times 12 = 48$

Thus, there are 48 red marbles.

Would you like further clarification or have any other questions?

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Here are some related questions:

1. How many blue marbles are there?
2. What would happen if the ratio of red to blue marbles was 3:5?
3. How would you solve if the total number of marbles was 180?
4. How do you find the value of one part when the ratio involves more than two colors?
5. Can you solve a similar problem with a different total number of marbles?

Tip: When dealing with ratios, always check if the total parts in the ratio add up to the total quantity you are working with.