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Finding the Fourth Proportional to 81,086.40, 121,543.20 and 31,147.20

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Solution

The fourth proportional to 81,086.40, 121,543.20 and 31,147.20 is: 46,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,086.40 : 121,543.20 = 31,147.20 : x
  2. Step 2: Convert to fraction form
    81,086.40/121,543.20 = 31,147.20/x
  3. Step 3: Cross multiply
    81,086.40x = 121,543.20 × 31,147.20
  4. Step 4: Simplify right side
    81,086.40x = 3,785,730,359.04
  5. Step 5: Solve for x
    x = 3,785,730,359.04/81,086.40
  6. Step 6: Final answer
    x = 46,687.61

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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.