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Finding the Fourth Proportional to 71,961.50, 107,942.94 and 27,577.70

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Solution

The fourth proportional to 71,961.50, 107,942.94 and 27,577.70 is: 41,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,961.50 : 107,942.94 = 27,577.70 : x
  2. Step 2: Convert to fraction form
    71,961.50/107,942.94 = 27,577.70/x
  3. Step 3: Cross multiply
    71,961.50x = 107,942.94 × 27,577.70
  4. Step 4: Simplify right side
    71,961.50x = 2,976,818,016.44
  5. Step 5: Solve for x
    x = 2,976,818,016.44/71,961.50
  6. Step 6: Final answer
    x = 41,366.81

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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.