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Finding the Fourth Proportional to 82,601.76, 113,990.42 and 44,876

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Solution

The fourth proportional to 82,601.76, 113,990.42 and 44,876 is: 61,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,601.76 : 113,990.42 = 44,876 : x
  2. Step 2: Convert to fraction form
    82,601.76/113,990.42 = 44,876/x
  3. Step 3: Cross multiply
    82,601.76x = 113,990.42 × 44,876
  4. Step 4: Simplify right side
    82,601.76x = 5,115,434,087.92
  5. Step 5: Solve for x
    x = 5,115,434,087.92/82,601.76
  6. Step 6: Final answer
    x = 61,928.88

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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.