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Finding the Fourth Proportional to 31,488.27, 43,454.64 and 17,342.02

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Solution

The fourth proportional to 31,488.27, 43,454.64 and 17,342.02 is: 23,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488.27 : 43,454.64 = 17,342.02 : x
  2. Step 2: Convert to fraction form
    31,488.27/43,454.64 = 17,342.02/x
  3. Step 3: Cross multiply
    31,488.27x = 43,454.64 × 17,342.02
  4. Step 4: Simplify right side
    31,488.27x = 753,591,235.97
  5. Step 5: Solve for x
    x = 753,591,235.97/31,488.27
  6. Step 6: Final answer
    x = 23,932.44

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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.