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Finding the Fourth Proportional to 31,382.82, 43,286.80 and 20,047.29

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Solution

The fourth proportional to 31,382.82, 43,286.80 and 20,047.29 is: 27,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.82 : 43,286.80 = 20,047.29 : x
  2. Step 2: Convert to fraction form
    31,382.82/43,286.80 = 20,047.29/x
  3. Step 3: Cross multiply
    31,382.82x = 43,286.80 × 20,047.29
  4. Step 4: Simplify right side
    31,382.82x = 867,782,716.10
  5. Step 5: Solve for x
    x = 867,782,716.10/31,382.82
  6. Step 6: Final answer
    x = 27,651.52

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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.