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Finding the Fourth Proportional to 71,251.20, 106,851.60 and 24,493.20

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Solution

The fourth proportional to 71,251.20, 106,851.60 and 24,493.20 is: 36,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,251.20 : 106,851.60 = 24,493.20 : x
  2. Step 2: Convert to fraction form
    71,251.20/106,851.60 = 24,493.20/x
  3. Step 3: Cross multiply
    71,251.20x = 106,851.60 × 24,493.20
  4. Step 4: Simplify right side
    71,251.20x = 2,617,137,609.12
  5. Step 5: Solve for x
    x = 2,617,137,609.12/71,251.20
  6. Step 6: Final answer
    x = 36,731.14

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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.