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Finding the Fourth Proportional to 31,691.88, 43,735.14 and 17,544.96

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Solution

The fourth proportional to 31,691.88, 43,735.14 and 17,544.96 is: 24,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.88 : 43,735.14 = 17,544.96 : x
  2. Step 2: Convert to fraction form
    31,691.88/43,735.14 = 17,544.96/x
  3. Step 3: Cross multiply
    31,691.88x = 43,735.14 × 17,544.96
  4. Step 4: Simplify right side
    31,691.88x = 767,331,281.89
  5. Step 5: Solve for x
    x = 767,331,281.89/31,691.88
  6. Step 6: Final answer
    x = 24,212.24

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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.