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Finding the Fourth Proportional to 31,686.82, 43,732.50 and 18,255.52

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Solution

The fourth proportional to 31,686.82, 43,732.50 and 18,255.52 is: 25,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.82 : 43,732.50 = 18,255.52 : x
  2. Step 2: Convert to fraction form
    31,686.82/43,732.50 = 18,255.52/x
  3. Step 3: Cross multiply
    31,686.82x = 43,732.50 × 18,255.52
  4. Step 4: Simplify right side
    31,686.82x = 798,359,528.40
  5. Step 5: Solve for x
    x = 798,359,528.40/31,686.82
  6. Step 6: Final answer
    x = 25,195.32

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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.