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Finding the Fourth Proportional to 31,781.38, 43,858.31 and 17,634.32

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Solution

The fourth proportional to 31,781.38, 43,858.31 and 17,634.32 is: 24,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.38 : 43,858.31 = 17,634.32 : x
  2. Step 2: Convert to fraction form
    31,781.38/43,858.31 = 17,634.32/x
  3. Step 3: Cross multiply
    31,781.38x = 43,858.31 × 17,634.32
  4. Step 4: Simplify right side
    31,781.38x = 773,411,385.03
  5. Step 5: Solve for x
    x = 773,411,385.03/31,781.38
  6. Step 6: Final answer
    x = 24,335.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.