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Finding the Fourth Proportional to 24,332.10, 36,477.90 and 10,302.90

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Solution

The fourth proportional to 24,332.10, 36,477.90 and 10,302.90 is: 15,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.10 : 36,477.90 = 10,302.90 : x
  2. Step 2: Convert to fraction form
    24,332.10/36,477.90 = 10,302.90/x
  3. Step 3: Cross multiply
    24,332.10x = 36,477.90 × 10,302.90
  4. Step 4: Simplify right side
    24,332.10x = 375,828,155.91
  5. Step 5: Solve for x
    x = 375,828,155.91/24,332.10
  6. Step 6: Final answer
    x = 15,445.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.