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Finding the Fourth Proportional to 71,876.43, 107,815.05 and 25,096.50

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Solution

The fourth proportional to 71,876.43, 107,815.05 and 25,096.50 is: 37,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,876.43 : 107,815.05 = 25,096.50 : x
  2. Step 2: Convert to fraction form
    71,876.43/107,815.05 = 25,096.50/x
  3. Step 3: Cross multiply
    71,876.43x = 107,815.05 × 25,096.50
  4. Step 4: Simplify right side
    71,876.43x = 2,705,780,402.33
  5. Step 5: Solve for x
    x = 2,705,780,402.33/71,876.43
  6. Step 6: Final answer
    x = 37,644.89

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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.