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Finding the Fourth Proportional to 33,215.32, 49,822.20 and 8,255.44

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Solution

The fourth proportional to 33,215.32, 49,822.20 and 8,255.44 is: 12,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,215.32 : 49,822.20 = 8,255.44 : x
  2. Step 2: Convert to fraction form
    33,215.32/49,822.20 = 8,255.44/x
  3. Step 3: Cross multiply
    33,215.32x = 49,822.20 × 8,255.44
  4. Step 4: Simplify right side
    33,215.32x = 411,304,182.77
  5. Step 5: Solve for x
    x = 411,304,182.77/33,215.32
  6. Step 6: Final answer
    x = 12,382.97

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1.5x scale

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.