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Finding the Fourth Proportional to 33,469.24, 50,205.78 and 10,093.24

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Solution

The fourth proportional to 33,469.24, 50,205.78 and 10,093.24 is: 15,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,469.24 : 50,205.78 = 10,093.24 : x
  2. Step 2: Convert to fraction form
    33,469.24/50,205.78 = 10,093.24/x
  3. Step 3: Cross multiply
    33,469.24x = 50,205.78 × 10,093.24
  4. Step 4: Simplify right side
    33,469.24x = 506,738,986.93
  5. Step 5: Solve for x
    x = 506,738,986.93/33,469.24
  6. Step 6: Final answer
    x = 15,140.44

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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.