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Finding the Fourth Proportional to 34,591.72, 47,737.68 and 20,252.96

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Solution

The fourth proportional to 34,591.72, 47,737.68 and 20,252.96 is: 27,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,591.72 : 47,737.68 = 20,252.96 : x
  2. Step 2: Convert to fraction form
    34,591.72/47,737.68 = 20,252.96/x
  3. Step 3: Cross multiply
    34,591.72x = 47,737.68 × 20,252.96
  4. Step 4: Simplify right side
    34,591.72x = 966,829,323.53
  5. Step 5: Solve for x
    x = 966,829,323.53/34,591.72
  6. Step 6: Final answer
    x = 27,949.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.