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Finding the Fourth Proportional to 31,781.59, 43,857.10 and 17,441.10

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Solution

The fourth proportional to 31,781.59, 43,857.10 and 17,441.10 is: 24,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.59 : 43,857.10 = 17,441.10 : x
  2. Step 2: Convert to fraction form
    31,781.59/43,857.10 = 17,441.10/x
  3. Step 3: Cross multiply
    31,781.59x = 43,857.10 × 17,441.10
  4. Step 4: Simplify right side
    31,781.59x = 764,915,867.16
  5. Step 5: Solve for x
    x = 764,915,867.16/31,781.59
  6. Step 6: Final answer
    x = 24,067.89

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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.