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Finding the Fourth Proportional to 71,695.73, 107,545.66 and 24,310.97

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Solution

The fourth proportional to 71,695.73, 107,545.66 and 24,310.97 is: 36,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.73 : 107,545.66 = 24,310.97 : x
  2. Step 2: Convert to fraction form
    71,695.73/107,545.66 = 24,310.97/x
  3. Step 3: Cross multiply
    71,695.73x = 107,545.66 × 24,310.97
  4. Step 4: Simplify right side
    71,695.73x = 2,614,539,118.68
  5. Step 5: Solve for x
    x = 2,614,539,118.68/71,695.73
  6. Step 6: Final answer
    x = 36,467.15

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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.