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Finding the Fourth Proportional to 57,542.15, 86,311.16 and 20,102.09

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Solution

The fourth proportional to 57,542.15, 86,311.16 and 20,102.09 is: 30,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,542.15 : 86,311.16 = 20,102.09 : x
  2. Step 2: Convert to fraction form
    57,542.15/86,311.16 = 20,102.09/x
  3. Step 3: Cross multiply
    57,542.15x = 86,311.16 × 20,102.09
  4. Step 4: Simplify right side
    57,542.15x = 1,735,034,174.26
  5. Step 5: Solve for x
    x = 1,735,034,174.26/57,542.15
  6. Step 6: Final answer
    x = 30,152.41

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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.