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Finding the Fourth Proportional to 57,568.15, 86,372.85 and 20,138.50

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Solution

The fourth proportional to 57,568.15, 86,372.85 and 20,138.50 is: 30,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568.15 : 86,372.85 = 20,138.50 : x
  2. Step 2: Convert to fraction form
    57,568.15/86,372.85 = 20,138.50/x
  3. Step 3: Cross multiply
    57,568.15x = 86,372.85 × 20,138.50
  4. Step 4: Simplify right side
    57,568.15x = 1,739,419,639.73
  5. Step 5: Solve for x
    x = 1,739,419,639.73/57,568.15
  6. Step 6: Final answer
    x = 30,214.97

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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.