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Finding the Fourth Proportional to 31,381.92, 43,309.17 and 17,234.91

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Solution

The fourth proportional to 31,381.92, 43,309.17 and 17,234.91 is: 23,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.92 : 43,309.17 = 17,234.91 : x
  2. Step 2: Convert to fraction form
    31,381.92/43,309.17 = 17,234.91/x
  3. Step 3: Cross multiply
    31,381.92x = 43,309.17 × 17,234.91
  4. Step 4: Simplify right side
    31,381.92x = 746,429,647.12
  5. Step 5: Solve for x
    x = 746,429,647.12/31,381.92
  6. Step 6: Final answer
    x = 23,785.34

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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.