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Finding the Fourth Proportional to 31,175.92, 43,021 and 17,750.44

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Solution

The fourth proportional to 31,175.92, 43,021 and 17,750.44 is: 24,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.92 : 43,021 = 17,750.44 : x
  2. Step 2: Convert to fraction form
    31,175.92/43,021 = 17,750.44/x
  3. Step 3: Cross multiply
    31,175.92x = 43,021 × 17,750.44
  4. Step 4: Simplify right side
    31,175.92x = 763,641,679.24
  5. Step 5: Solve for x
    x = 763,641,679.24/31,175.92
  6. Step 6: Final answer
    x = 24,494.60

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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.