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Finding the Fourth Proportional to 33,846.24, 50,774.22 and 10,474.68

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Solution

The fourth proportional to 33,846.24, 50,774.22 and 10,474.68 is: 15,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846.24 : 50,774.22 = 10,474.68 : x
  2. Step 2: Convert to fraction form
    33,846.24/50,774.22 = 10,474.68/x
  3. Step 3: Cross multiply
    33,846.24x = 50,774.22 × 10,474.68
  4. Step 4: Simplify right side
    33,846.24x = 531,843,706.75
  5. Step 5: Solve for x
    x = 531,843,706.75/33,846.24
  6. Step 6: Final answer
    x = 15,713.52

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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.