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Finding the Fourth Proportional to 31,932.33, 44,067.97 and 17,785.17

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Solution

The fourth proportional to 31,932.33, 44,067.97 and 17,785.17 is: 24,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.33 : 44,067.97 = 17,785.17 : x
  2. Step 2: Convert to fraction form
    31,932.33/44,067.97 = 17,785.17/x
  3. Step 3: Cross multiply
    31,932.33x = 44,067.97 × 17,785.17
  4. Step 4: Simplify right side
    31,932.33x = 783,756,403.71
  5. Step 5: Solve for x
    x = 783,756,403.71/31,932.33
  6. Step 6: Final answer
    x = 24,544.29

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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.