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Finding the Fourth Proportional to 75,647.64, 113,418.91 and 33,504.76

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Solution

The fourth proportional to 75,647.64, 113,418.91 and 33,504.76 is: 50,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,647.64 : 113,418.91 = 33,504.76 : x
  2. Step 2: Convert to fraction form
    75,647.64/113,418.91 = 33,504.76/x
  3. Step 3: Cross multiply
    75,647.64x = 113,418.91 × 33,504.76
  4. Step 4: Simplify right side
    75,647.64x = 3,800,073,359.01
  5. Step 5: Solve for x
    x = 3,800,073,359.01/75,647.64
  6. Step 6: Final answer
    x = 50,233.87

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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.