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Finding the Fourth Proportional to 31,677, 43,713.68 and 18,248.18

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Solution

The fourth proportional to 31,677, 43,713.68 and 18,248.18 is: 25,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677 : 43,713.68 = 18,248.18 : x
  2. Step 2: Convert to fraction form
    31,677/43,713.68 = 18,248.18/x
  3. Step 3: Cross multiply
    31,677x = 43,713.68 × 18,248.18
  4. Step 4: Simplify right side
    31,677x = 797,695,101.10
  5. Step 5: Solve for x
    x = 797,695,101.10/31,677
  6. Step 6: Final answer
    x = 25,182.15

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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.