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Finding the Fourth Proportional to 52,154.72, 71,912.88 and 38,013.92

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Solution

The fourth proportional to 52,154.72, 71,912.88 and 38,013.92 is: 52,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154.72 : 71,912.88 = 38,013.92 : x
  2. Step 2: Convert to fraction form
    52,154.72/71,912.88 = 38,013.92/x
  3. Step 3: Cross multiply
    52,154.72x = 71,912.88 × 38,013.92
  4. Step 4: Simplify right side
    52,154.72x = 2,733,690,467.29
  5. Step 5: Solve for x
    x = 2,733,690,467.29/52,154.72
  6. Step 6: Final answer
    x = 52,415.02

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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.