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Finding the Fourth Proportional to 33,211.80, 49,818.61 and 8,250.84

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Solution

The fourth proportional to 33,211.80, 49,818.61 and 8,250.84 is: 12,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,211.80 : 49,818.61 = 8,250.84 : x
  2. Step 2: Convert to fraction form
    33,211.80/49,818.61 = 8,250.84/x
  3. Step 3: Cross multiply
    33,211.80x = 49,818.61 × 8,250.84
  4. Step 4: Simplify right side
    33,211.80x = 411,045,380.13
  5. Step 5: Solve for x
    x = 411,045,380.13/33,211.80
  6. Step 6: Final answer
    x = 12,376.49

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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.