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Finding the Fourth Proportional to 33,498.77, 50,255.44 and 11,311.20

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Solution

The fourth proportional to 33,498.77, 50,255.44 and 11,311.20 is: 16,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,498.77 : 50,255.44 = 11,311.20 : x
  2. Step 2: Convert to fraction form
    33,498.77/50,255.44 = 11,311.20/x
  3. Step 3: Cross multiply
    33,498.77x = 50,255.44 × 11,311.20
  4. Step 4: Simplify right side
    33,498.77x = 568,449,304.65
  5. Step 5: Solve for x
    x = 568,449,304.65/33,498.77
  6. Step 6: Final answer
    x = 16,969.26

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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.