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Finding the Fourth Proportional to 27,872.30, 41,806.82 and 20,383.44

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Solution

The fourth proportional to 27,872.30, 41,806.82 and 20,383.44 is: 30,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.30 : 41,806.82 = 20,383.44 : x
  2. Step 2: Convert to fraction form
    27,872.30/41,806.82 = 20,383.44/x
  3. Step 3: Cross multiply
    27,872.30x = 41,806.82 × 20,383.44
  4. Step 4: Simplify right side
    27,872.30x = 852,166,705.14
  5. Step 5: Solve for x
    x = 852,166,705.14/27,872.30
  6. Step 6: Final answer
    x = 30,573.97

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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.