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Finding the Fourth Proportional to 31,711.34, 43,761.21 and 17,370.98

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Solution

The fourth proportional to 31,711.34, 43,761.21 and 17,370.98 is: 23,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.34 : 43,761.21 = 17,370.98 : x
  2. Step 2: Convert to fraction form
    31,711.34/43,761.21 = 17,370.98/x
  3. Step 3: Cross multiply
    31,711.34x = 43,761.21 × 17,370.98
  4. Step 4: Simplify right side
    31,711.34x = 760,175,103.69
  5. Step 5: Solve for x
    x = 760,175,103.69/31,711.34
  6. Step 6: Final answer
    x = 23,971.71

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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.