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Finding the Fourth Proportional to 31,067.94, 42,871.13 and 17,454.92

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Solution

The fourth proportional to 31,067.94, 42,871.13 and 17,454.92 is: 24,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067.94 : 42,871.13 = 17,454.92 : x
  2. Step 2: Convert to fraction form
    31,067.94/42,871.13 = 17,454.92/x
  3. Step 3: Cross multiply
    31,067.94x = 42,871.13 × 17,454.92
  4. Step 4: Simplify right side
    31,067.94x = 748,312,295.27
  5. Step 5: Solve for x
    x = 748,312,295.27/31,067.94
  6. Step 6: Final answer
    x = 24,086.32

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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.