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Finding the Fourth Proportional to 31,932.39, 44,068.05 and 17,785.23

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Solution

The fourth proportional to 31,932.39, 44,068.05 and 17,785.23 is: 24,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.39 : 44,068.05 = 17,785.23 : x
  2. Step 2: Convert to fraction form
    31,932.39/44,068.05 = 17,785.23/x
  3. Step 3: Cross multiply
    31,932.39x = 44,068.05 × 17,785.23
  4. Step 4: Simplify right side
    31,932.39x = 783,760,404.90
  5. Step 5: Solve for x
    x = 783,760,404.90/31,932.39
  6. Step 6: Final answer
    x = 24,544.37

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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.