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Finding the Fourth Proportional to 33,431.88, 50,183.10 and 32,678.76

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Solution

The fourth proportional to 33,431.88, 50,183.10 and 32,678.76 is: 49,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.88 : 50,183.10 = 32,678.76 : x
  2. Step 2: Convert to fraction form
    33,431.88/50,183.10 = 32,678.76/x
  3. Step 3: Cross multiply
    33,431.88x = 50,183.10 × 32,678.76
  4. Step 4: Simplify right side
    33,431.88x = 1,639,921,480.96
  5. Step 5: Solve for x
    x = 1,639,921,480.96/33,431.88
  6. Step 6: Final answer
    x = 49,052.63

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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.