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Finding the Fourth Proportional to 33,431.88, 50,086.32 and 20,949.58

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Solution

The fourth proportional to 33,431.88, 50,086.32 and 20,949.58 is: 31,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.88 : 50,086.32 = 20,949.58 : x
  2. Step 2: Convert to fraction form
    33,431.88/50,086.32 = 20,949.58/x
  3. Step 3: Cross multiply
    33,431.88x = 50,086.32 × 20,949.58
  4. Step 4: Simplify right side
    33,431.88x = 1,049,287,351.79
  5. Step 5: Solve for x
    x = 1,049,287,351.79/33,431.88
  6. Step 6: Final answer
    x = 31,385.83

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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.