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Finding the Fourth Proportional to 57,462.12, 86,193.02 and 15,909

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Solution

The fourth proportional to 57,462.12, 86,193.02 and 15,909 is: 23,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462.12 : 86,193.02 = 15,909 : x
  2. Step 2: Convert to fraction form
    57,462.12/86,193.02 = 15,909/x
  3. Step 3: Cross multiply
    57,462.12x = 86,193.02 × 15,909
  4. Step 4: Simplify right side
    57,462.12x = 1,371,244,755.18
  5. Step 5: Solve for x
    x = 1,371,244,755.18/57,462.12
  6. Step 6: Final answer
    x = 23,863.46

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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.