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Finding the Fourth Proportional to 27,770.76, 41,662.56 and 8,049.60

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Solution

The fourth proportional to 27,770.76, 41,662.56 and 8,049.60 is: 12,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.76 : 41,662.56 = 8,049.60 : x
  2. Step 2: Convert to fraction form
    27,770.76/41,662.56 = 8,049.60/x
  3. Step 3: Cross multiply
    27,770.76x = 41,662.56 × 8,049.60
  4. Step 4: Simplify right side
    27,770.76x = 335,366,942.98
  5. Step 5: Solve for x
    x = 335,366,942.98/27,770.76
  6. Step 6: Final answer
    x = 12,076.26

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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.