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Finding the Fourth Proportional to 71,811.78, 107,557.26 and 52,044.96

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Solution

The fourth proportional to 71,811.78, 107,557.26 and 52,044.96 is: 77,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811.78 : 107,557.26 = 52,044.96 : x
  2. Step 2: Convert to fraction form
    71,811.78/107,557.26 = 52,044.96/x
  3. Step 3: Cross multiply
    71,811.78x = 107,557.26 × 52,044.96
  4. Step 4: Simplify right side
    71,811.78x = 5,597,813,294.41
  5. Step 5: Solve for x
    x = 5,597,813,294.41/71,811.78
  6. Step 6: Final answer
    x = 77,951.18

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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.