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Finding the Fourth Proportional to 31,735.62, 43,794.14 and 17,588.97

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Solution

The fourth proportional to 31,735.62, 43,794.14 and 17,588.97 is: 24,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.62 : 43,794.14 = 17,588.97 : x
  2. Step 2: Convert to fraction form
    31,735.62/43,794.14 = 17,588.97/x
  3. Step 3: Cross multiply
    31,735.62x = 43,794.14 × 17,588.97
  4. Step 4: Simplify right side
    31,735.62x = 770,293,726.69
  5. Step 5: Solve for x
    x = 770,293,726.69/31,735.62
  6. Step 6: Final answer
    x = 24,272.21

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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.