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Finding the Fourth Proportional to 33,855.24, 50,782.80 and 10,162.76

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Solution

The fourth proportional to 33,855.24, 50,782.80 and 10,162.76 is: 15,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,855.24 : 50,782.80 = 10,162.76 : x
  2. Step 2: Convert to fraction form
    33,855.24/50,782.80 = 10,162.76/x
  3. Step 3: Cross multiply
    33,855.24x = 50,782.80 × 10,162.76
  4. Step 4: Simplify right side
    33,855.24x = 516,093,408.53
  5. Step 5: Solve for x
    x = 516,093,408.53/33,855.24
  6. Step 6: Final answer
    x = 15,244.12

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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.