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Finding the Fourth Proportional to 31,879.38, 43,993.43 and 17,732.23

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Solution

The fourth proportional to 31,879.38, 43,993.43 and 17,732.23 is: 24,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.38 : 43,993.43 = 17,732.23 : x
  2. Step 2: Convert to fraction form
    31,879.38/43,993.43 = 17,732.23/x
  3. Step 3: Cross multiply
    31,879.38x = 43,993.43 × 17,732.23
  4. Step 4: Simplify right side
    31,879.38x = 780,101,619.25
  5. Step 5: Solve for x
    x = 780,101,619.25/31,879.38
  6. Step 6: Final answer
    x = 24,470.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.