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Finding the Fourth Proportional to 38,446.14, 57,669.12 and 15,056.22

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Solution

The fourth proportional to 38,446.14, 57,669.12 and 15,056.22 is: 22,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,446.14 : 57,669.12 = 15,056.22 : x
  2. Step 2: Convert to fraction form
    38,446.14/57,669.12 = 15,056.22/x
  3. Step 3: Cross multiply
    38,446.14x = 57,669.12 × 15,056.22
  4. Step 4: Simplify right side
    38,446.14x = 868,278,957.93
  5. Step 5: Solve for x
    x = 868,278,957.93/38,446.14
  6. Step 6: Final answer
    x = 22,584.29

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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.