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Finding the Fourth Proportional to 27,801.84, 41,702.92 and 8,080.52

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Solution

The fourth proportional to 27,801.84, 41,702.92 and 8,080.52 is: 12,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.84 : 41,702.92 = 8,080.52 : x
  2. Step 2: Convert to fraction form
    27,801.84/41,702.92 = 8,080.52/x
  3. Step 3: Cross multiply
    27,801.84x = 41,702.92 × 8,080.52
  4. Step 4: Simplify right side
    27,801.84x = 336,981,279.12
  5. Step 5: Solve for x
    x = 336,981,279.12/27,801.84
  6. Step 6: Final answer
    x = 12,120.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.