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Finding the Fourth Proportional to 71,561.92, 107,306.46 and 42,037.48

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Solution

The fourth proportional to 71,561.92, 107,306.46 and 42,037.48 is: 63,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,561.92 : 107,306.46 = 42,037.48 : x
  2. Step 2: Convert to fraction form
    71,561.92/107,306.46 = 42,037.48/x
  3. Step 3: Cross multiply
    71,561.92x = 107,306.46 × 42,037.48
  4. Step 4: Simplify right side
    71,561.92x = 4,510,893,166.12
  5. Step 5: Solve for x
    x = 4,510,893,166.12/71,561.92
  6. Step 6: Final answer
    x = 63,034.83

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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.