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Finding the Fourth Proportional to 33,062.25, 49,593.38 and 8,438.25

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Solution

The fourth proportional to 33,062.25, 49,593.38 and 8,438.25 is: 12,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,062.25 : 49,593.38 = 8,438.25 : x
  2. Step 2: Convert to fraction form
    33,062.25/49,593.38 = 8,438.25/x
  3. Step 3: Cross multiply
    33,062.25x = 49,593.38 × 8,438.25
  4. Step 4: Simplify right side
    33,062.25x = 418,481,338.79
  5. Step 5: Solve for x
    x = 418,481,338.79/33,062.25
  6. Step 6: Final answer
    x = 12,657.38

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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.