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Finding the Fourth Proportional to 31,896.27, 44,008.65 and 21,827.82

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Solution

The fourth proportional to 31,896.27, 44,008.65 and 21,827.82 is: 30,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.27 : 44,008.65 = 21,827.82 : x
  2. Step 2: Convert to fraction form
    31,896.27/44,008.65 = 21,827.82/x
  3. Step 3: Cross multiply
    31,896.27x = 44,008.65 × 21,827.82
  4. Step 4: Simplify right side
    31,896.27x = 960,612,890.64
  5. Step 5: Solve for x
    x = 960,612,890.64/31,896.27
  6. Step 6: Final answer
    x = 30,116.78

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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.