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Finding the Fourth Proportional to 31,751.97, 43,781.77 and 20,251.52

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Solution

The fourth proportional to 31,751.97, 43,781.77 and 20,251.52 is: 27,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.97 : 43,781.77 = 20,251.52 : x
  2. Step 2: Convert to fraction form
    31,751.97/43,781.77 = 20,251.52/x
  3. Step 3: Cross multiply
    31,751.97x = 43,781.77 × 20,251.52
  4. Step 4: Simplify right side
    31,751.97x = 886,647,390.79
  5. Step 5: Solve for x
    x = 886,647,390.79/31,751.97
  6. Step 6: Final answer
    x = 27,924.17

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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.