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Finding the Fourth Proportional to 71,711.34, 107,597.28 and 38,422.50

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Solution

The fourth proportional to 71,711.34, 107,597.28 and 38,422.50 is: 57,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,711.34 : 107,597.28 = 38,422.50 : x
  2. Step 2: Convert to fraction form
    71,711.34/107,597.28 = 38,422.50/x
  3. Step 3: Cross multiply
    71,711.34x = 107,597.28 × 38,422.50
  4. Step 4: Simplify right side
    71,711.34x = 4,134,156,490.80
  5. Step 5: Solve for x
    x = 4,134,156,490.80/71,711.34
  6. Step 6: Final answer
    x = 57,649.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.