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Finding the Fourth Proportional to 33,205.91, 49,814.78 and 11,020.59

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Solution

The fourth proportional to 33,205.91, 49,814.78 and 11,020.59 is: 16,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.91 : 49,814.78 = 11,020.59 : x
  2. Step 2: Convert to fraction form
    33,205.91/49,814.78 = 11,020.59/x
  3. Step 3: Cross multiply
    33,205.91x = 49,814.78 × 11,020.59
  4. Step 4: Simplify right side
    33,205.91x = 548,988,211.22
  5. Step 5: Solve for x
    x = 548,988,211.22/33,205.91
  6. Step 6: Final answer
    x = 16,532.85

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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.