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Finding the Fourth Proportional to 29,143.82, 43,720.71 and 9,149.48

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Solution

The fourth proportional to 29,143.82, 43,720.71 and 9,149.48 is: 13,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,143.82 : 43,720.71 = 9,149.48 : x
  2. Step 2: Convert to fraction form
    29,143.82/43,720.71 = 9,149.48/x
  3. Step 3: Cross multiply
    29,143.82x = 43,720.71 × 9,149.48
  4. Step 4: Simplify right side
    29,143.82x = 400,021,761.73
  5. Step 5: Solve for x
    x = 400,021,761.73/29,143.82
  6. Step 6: Final answer
    x = 13,725.78

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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.