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Finding the Fourth Proportional to 51,737.48, 71,397.30 and 29,381

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Solution

The fourth proportional to 51,737.48, 71,397.30 and 29,381 is: 40,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,737.48 : 71,397.30 = 29,381 : x
  2. Step 2: Convert to fraction form
    51,737.48/71,397.30 = 29,381/x
  3. Step 3: Cross multiply
    51,737.48x = 71,397.30 × 29,381
  4. Step 4: Simplify right side
    51,737.48x = 2,097,724,071.30
  5. Step 5: Solve for x
    x = 2,097,724,071.30/51,737.48
  6. Step 6: Final answer
    x = 40,545.54

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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.