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Finding the Fourth Proportional to 31,781.96, 43,859.13 and 17,634.80

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Solution

The fourth proportional to 31,781.96, 43,859.13 and 17,634.80 is: 24,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.96 : 43,859.13 = 17,634.80 : x
  2. Step 2: Convert to fraction form
    31,781.96/43,859.13 = 17,634.80/x
  3. Step 3: Cross multiply
    31,781.96x = 43,859.13 × 17,634.80
  4. Step 4: Simplify right side
    31,781.96x = 773,446,766.43
  5. Step 5: Solve for x
    x = 773,446,766.43/31,781.96
  6. Step 6: Final answer
    x = 24,336.03

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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.