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Finding the Fourth Proportional to 71,221.20, 106,884.30 and 33,781.14

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Solution

The fourth proportional to 71,221.20, 106,884.30 and 33,781.14 is: 50,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,221.20 : 106,884.30 = 33,781.14 : x
  2. Step 2: Convert to fraction form
    71,221.20/106,884.30 = 33,781.14/x
  3. Step 3: Cross multiply
    71,221.20x = 106,884.30 × 33,781.14
  4. Step 4: Simplify right side
    71,221.20x = 3,610,673,502.10
  5. Step 5: Solve for x
    x = 3,610,673,502.10/71,221.20
  6. Step 6: Final answer
    x = 50,696.61

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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.