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Finding the Fourth Proportional to 31,644.81, 43,630.14 and 20,294.28

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Solution

The fourth proportional to 31,644.81, 43,630.14 and 20,294.28 is: 27,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.81 : 43,630.14 = 20,294.28 : x
  2. Step 2: Convert to fraction form
    31,644.81/43,630.14 = 20,294.28/x
  3. Step 3: Cross multiply
    31,644.81x = 43,630.14 × 20,294.28
  4. Step 4: Simplify right side
    31,644.81x = 885,442,353.70
  5. Step 5: Solve for x
    x = 885,442,353.70/31,644.81
  6. Step 6: Final answer
    x = 27,980.65

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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.