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Finding the Fourth Proportional to 33,633.24, 50,415.24 and 14,922.09

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Solution

The fourth proportional to 33,633.24, 50,415.24 and 14,922.09 is: 22,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.24 : 50,415.24 = 14,922.09 : x
  2. Step 2: Convert to fraction form
    33,633.24/50,415.24 = 14,922.09/x
  3. Step 3: Cross multiply
    33,633.24x = 50,415.24 × 14,922.09
  4. Step 4: Simplify right side
    33,633.24x = 752,300,748.65
  5. Step 5: Solve for x
    x = 752,300,748.65/33,633.24
  6. Step 6: Final answer
    x = 22,367.78

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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.