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Finding the Fourth Proportional to 31,677.48, 43,714.68 and 17,531.16

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Solution

The fourth proportional to 31,677.48, 43,714.68 and 17,531.16 is: 24,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.48 : 43,714.68 = 17,531.16 : x
  2. Step 2: Convert to fraction form
    31,677.48/43,714.68 = 17,531.16/x
  3. Step 3: Cross multiply
    31,677.48x = 43,714.68 × 17,531.16
  4. Step 4: Simplify right side
    31,677.48x = 766,369,049.43
  5. Step 5: Solve for x
    x = 766,369,049.43/31,677.48
  6. Step 6: Final answer
    x = 24,192.87

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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.