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Finding the Fourth Proportional to 80,419, 110,961.74 and 44,601.34

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Solution

The fourth proportional to 80,419, 110,961.74 and 44,601.34 is: 61,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,419 : 110,961.74 = 44,601.34 : x
  2. Step 2: Convert to fraction form
    80,419/110,961.74 = 44,601.34/x
  3. Step 3: Cross multiply
    80,419x = 110,961.74 × 44,601.34
  4. Step 4: Simplify right side
    80,419x = 4,949,042,292.73
  5. Step 5: Solve for x
    x = 4,949,042,292.73/80,419
  6. Step 6: Final answer
    x = 61,540.71

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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.