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Finding the Fourth Proportional to 31,471.33, 43,429.44 and 17,324.14

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Solution

The fourth proportional to 31,471.33, 43,429.44 and 17,324.14 is: 23,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.33 : 43,429.44 = 17,324.14 : x
  2. Step 2: Convert to fraction form
    31,471.33/43,429.44 = 17,324.14/x
  3. Step 3: Cross multiply
    31,471.33x = 43,429.44 × 17,324.14
  4. Step 4: Simplify right side
    31,471.33x = 752,377,698.68
  5. Step 5: Solve for x
    x = 752,377,698.68/31,471.33
  6. Step 6: Final answer
    x = 23,906.77

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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.