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Finding the Fourth Proportional to 75,651.66, 113,424.92 and 33,508.76

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Solution

The fourth proportional to 75,651.66, 113,424.92 and 33,508.76 is: 50,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651.66 : 113,424.92 = 33,508.76 : x
  2. Step 2: Convert to fraction form
    75,651.66/113,424.92 = 33,508.76/x
  3. Step 3: Cross multiply
    75,651.66x = 113,424.92 × 33,508.76
  4. Step 4: Simplify right side
    75,651.66x = 3,800,728,422.30
  5. Step 5: Solve for x
    x = 3,800,728,422.30/75,651.66
  6. Step 6: Final answer
    x = 50,239.85

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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.