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Finding the Fourth Proportional to 85,273.59, 127,922.01 and 29,098.59

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Solution

The fourth proportional to 85,273.59, 127,922.01 and 29,098.59 is: 43,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,273.59 : 127,922.01 = 29,098.59 : x
  2. Step 2: Convert to fraction form
    85,273.59/127,922.01 = 29,098.59/x
  3. Step 3: Cross multiply
    85,273.59x = 127,922.01 × 29,098.59
  4. Step 4: Simplify right side
    85,273.59x = 3,722,350,120.97
  5. Step 5: Solve for x
    x = 3,722,350,120.97/85,273.59
  6. Step 6: Final answer
    x = 43,651.85

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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.