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Finding the Fourth Proportional to 31,439.82, 43,387.14 and 17,099.82

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Solution

The fourth proportional to 31,439.82, 43,387.14 and 17,099.82 is: 23,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,439.82 : 43,387.14 = 17,099.82 : x
  2. Step 2: Convert to fraction form
    31,439.82/43,387.14 = 17,099.82/x
  3. Step 3: Cross multiply
    31,439.82x = 43,387.14 × 17,099.82
  4. Step 4: Simplify right side
    31,439.82x = 741,912,284.31
  5. Step 5: Solve for x
    x = 741,912,284.31/31,439.82
  6. Step 6: Final answer
    x = 23,597.85

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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.