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Finding the Fourth Proportional to 33,155.09, 49,732.14 and 8,195.14

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Solution

The fourth proportional to 33,155.09, 49,732.14 and 8,195.14 is: 12,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.09 : 49,732.14 = 8,195.14 : x
  2. Step 2: Convert to fraction form
    33,155.09/49,732.14 = 8,195.14/x
  3. Step 3: Cross multiply
    33,155.09x = 49,732.14 × 8,195.14
  4. Step 4: Simplify right side
    33,155.09x = 407,561,849.80
  5. Step 5: Solve for x
    x = 407,561,849.80/33,155.09
  6. Step 6: Final answer
    x = 12,292.59

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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.