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Finding the Fourth Proportional to 57,107.16, 85,691.52 and 27,114.48

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Solution

The fourth proportional to 57,107.16, 85,691.52 and 27,114.48 is: 40,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107.16 : 85,691.52 = 27,114.48 : x
  2. Step 2: Convert to fraction form
    57,107.16/85,691.52 = 27,114.48/x
  3. Step 3: Cross multiply
    57,107.16x = 85,691.52 × 27,114.48
  4. Step 4: Simplify right side
    57,107.16x = 2,323,481,005.21
  5. Step 5: Solve for x
    x = 2,323,481,005.21/57,107.16
  6. Step 6: Final answer
    x = 40,686.33

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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.