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Finding the Fourth Proportional to 31,498, 43,467.24 and 17,350.80

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Solution

The fourth proportional to 31,498, 43,467.24 and 17,350.80 is: 23,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498 : 43,467.24 = 17,350.80 : x
  2. Step 2: Convert to fraction form
    31,498/43,467.24 = 17,350.80/x
  3. Step 3: Cross multiply
    31,498x = 43,467.24 × 17,350.80
  4. Step 4: Simplify right side
    31,498x = 754,191,387.79
  5. Step 5: Solve for x
    x = 754,191,387.79/31,498
  6. Step 6: Final answer
    x = 23,944.10

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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.