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Finding the Fourth Proportional to 31,072.71, 42,879.01 and 17,644.71

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Solution

The fourth proportional to 31,072.71, 42,879.01 and 17,644.71 is: 24,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,072.71 : 42,879.01 = 17,644.71 : x
  2. Step 2: Convert to fraction form
    31,072.71/42,879.01 = 17,644.71/x
  3. Step 3: Cross multiply
    31,072.71x = 42,879.01 × 17,644.71
  4. Step 4: Simplify right side
    31,072.71x = 756,587,696.54
  5. Step 5: Solve for x
    x = 756,587,696.54/31,072.71
  6. Step 6: Final answer
    x = 24,348.94

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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.