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Finding the Fourth Proportional to 31,171.72, 43,016.30 and 17,024.62

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Solution

The fourth proportional to 31,171.72, 43,016.30 and 17,024.62 is: 23,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.72 : 43,016.30 = 17,024.62 : x
  2. Step 2: Convert to fraction form
    31,171.72/43,016.30 = 17,024.62/x
  3. Step 3: Cross multiply
    31,171.72x = 43,016.30 × 17,024.62
  4. Step 4: Simplify right side
    31,171.72x = 732,336,161.31
  5. Step 5: Solve for x
    x = 732,336,161.31/31,171.72
  6. Step 6: Final answer
    x = 23,493.61

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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.