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Finding the Fourth Proportional to 33,129.34, 49,694.04 and 8,169.80

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Solution

The fourth proportional to 33,129.34, 49,694.04 and 8,169.80 is: 12,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,129.34 : 49,694.04 = 8,169.80 : x
  2. Step 2: Convert to fraction form
    33,129.34/49,694.04 = 8,169.80/x
  3. Step 3: Cross multiply
    33,129.34x = 49,694.04 × 8,169.80
  4. Step 4: Simplify right side
    33,129.34x = 405,990,367.99
  5. Step 5: Solve for x
    x = 405,990,367.99/33,129.34
  6. Step 6: Final answer
    x = 12,254.71

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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.