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Finding the Fourth Proportional to 31,781.67, 43,860.08 and 17,634.52

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Solution

The fourth proportional to 31,781.67, 43,860.08 and 17,634.52 is: 24,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.67 : 43,860.08 = 17,634.52 : x
  2. Step 2: Convert to fraction form
    31,781.67/43,860.08 = 17,634.52/x
  3. Step 3: Cross multiply
    31,781.67x = 43,860.08 × 17,634.52
  4. Step 4: Simplify right side
    31,781.67x = 773,451,210.97
  5. Step 5: Solve for x
    x = 773,451,210.97/31,781.67
  6. Step 6: Final answer
    x = 24,336.39

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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.