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Finding the Fourth Proportional to 33,471.38, 50,208.38 and 10,097.82

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Solution

The fourth proportional to 33,471.38, 50,208.38 and 10,097.82 is: 15,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471.38 : 50,208.38 = 10,097.82 : x
  2. Step 2: Convert to fraction form
    33,471.38/50,208.38 = 10,097.82/x
  3. Step 3: Cross multiply
    33,471.38x = 50,208.38 × 10,097.82
  4. Step 4: Simplify right side
    33,471.38x = 506,995,183.73
  5. Step 5: Solve for x
    x = 506,995,183.73/33,471.38
  6. Step 6: Final answer
    x = 15,147.13

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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.