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Finding the Fourth Proportional to 33,040.83, 49,560.78 and 8,081.07

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Solution

The fourth proportional to 33,040.83, 49,560.78 and 8,081.07 is: 12,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,040.83 : 49,560.78 = 8,081.07 : x
  2. Step 2: Convert to fraction form
    33,040.83/49,560.78 = 8,081.07/x
  3. Step 3: Cross multiply
    33,040.83x = 49,560.78 × 8,081.07
  4. Step 4: Simplify right side
    33,040.83x = 400,504,132.43
  5. Step 5: Solve for x
    x = 400,504,132.43/33,040.83
  6. Step 6: Final answer
    x = 12,121.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.