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Finding the Fourth Proportional to 29,781.85, 41,070.09 and 20,112.58

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Solution

The fourth proportional to 29,781.85, 41,070.09 and 20,112.58 is: 27,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.85 : 41,070.09 = 20,112.58 : x
  2. Step 2: Convert to fraction form
    29,781.85/41,070.09 = 20,112.58/x
  3. Step 3: Cross multiply
    29,781.85x = 41,070.09 × 20,112.58
  4. Step 4: Simplify right side
    29,781.85x = 826,025,470.73
  5. Step 5: Solve for x
    x = 826,025,470.73/29,781.85
  6. Step 6: Final answer
    x = 27,735.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.