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Finding the Fourth Proportional to 31,781.72, 43,858.12 and 17,634.24

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Solution

The fourth proportional to 31,781.72, 43,858.12 and 17,634.24 is: 24,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.72 : 43,858.12 = 17,634.24 : x
  2. Step 2: Convert to fraction form
    31,781.72/43,858.12 = 17,634.24/x
  3. Step 3: Cross multiply
    31,781.72x = 43,858.12 × 17,634.24
  4. Step 4: Simplify right side
    31,781.72x = 773,404,614.03
  5. Step 5: Solve for x
    x = 773,404,614.03/31,781.72
  6. Step 6: Final answer
    x = 24,334.89

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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.