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Finding the Fourth Proportional to 31,744.47, 43,807.13 and 17,404.13

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Solution

The fourth proportional to 31,744.47, 43,807.13 and 17,404.13 is: 24,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.47 : 43,807.13 = 17,404.13 : x
  2. Step 2: Convert to fraction form
    31,744.47/43,807.13 = 17,404.13/x
  3. Step 3: Cross multiply
    31,744.47x = 43,807.13 × 17,404.13
  4. Step 4: Simplify right side
    31,744.47x = 762,425,073.21
  5. Step 5: Solve for x
    x = 762,425,073.21/31,744.47
  6. Step 6: Final answer
    x = 24,017.57

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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.