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Finding the Fourth Proportional to 50,732.34, 76,098.45 and 19,545.78

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Solution

The fourth proportional to 50,732.34, 76,098.45 and 19,545.78 is: 29,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,732.34 : 76,098.45 = 19,545.78 : x
  2. Step 2: Convert to fraction form
    50,732.34/76,098.45 = 19,545.78/x
  3. Step 3: Cross multiply
    50,732.34x = 76,098.45 × 19,545.78
  4. Step 4: Simplify right side
    50,732.34x = 1,487,403,562.04
  5. Step 5: Solve for x
    x = 1,487,403,562.04/50,732.34
  6. Step 6: Final answer
    x = 29,318.65

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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.