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Finding the Fourth Proportional to 31,531.78, 43,514.15 and 17,385.13

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Solution

The fourth proportional to 31,531.78, 43,514.15 and 17,385.13 is: 23,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.78 : 43,514.15 = 17,385.13 : x
  2. Step 2: Convert to fraction form
    31,531.78/43,514.15 = 17,385.13/x
  3. Step 3: Cross multiply
    31,531.78x = 43,514.15 × 17,385.13
  4. Step 4: Simplify right side
    31,531.78x = 756,499,154.59
  5. Step 5: Solve for x
    x = 756,499,154.59/31,531.78
  6. Step 6: Final answer
    x = 23,991.64

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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.