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Finding the Fourth Proportional to 33,242.54, 49,863.36 and 8,282.78

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Solution

The fourth proportional to 33,242.54, 49,863.36 and 8,282.78 is: 12,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,242.54 : 49,863.36 = 8,282.78 : x
  2. Step 2: Convert to fraction form
    33,242.54/49,863.36 = 8,282.78/x
  3. Step 3: Cross multiply
    33,242.54x = 49,863.36 × 8,282.78
  4. Step 4: Simplify right side
    33,242.54x = 413,007,240.94
  5. Step 5: Solve for x
    x = 413,007,240.94/33,242.54
  6. Step 6: Final answer
    x = 12,424.06

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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.