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Finding the Fourth Proportional to 83,715.60, 125,593.65 and 24,553.20

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Solution

The fourth proportional to 83,715.60, 125,593.65 and 24,553.20 is: 36,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,715.60 : 125,593.65 = 24,553.20 : x
  2. Step 2: Convert to fraction form
    83,715.60/125,593.65 = 24,553.20/x
  3. Step 3: Cross multiply
    83,715.60x = 125,593.65 × 24,553.20
  4. Step 4: Simplify right side
    83,715.60x = 3,083,726,007.18
  5. Step 5: Solve for x
    x = 3,083,726,007.18/83,715.60
  6. Step 6: Final answer
    x = 36,835.74

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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.