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Finding the Fourth Proportional to 75,643.64, 113,412.92 and 33,500.76

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Solution

The fourth proportional to 75,643.64, 113,412.92 and 33,500.76 is: 50,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,643.64 : 113,412.92 = 33,500.76 : x
  2. Step 2: Convert to fraction form
    75,643.64/113,412.92 = 33,500.76/x
  3. Step 3: Cross multiply
    75,643.64x = 113,412.92 × 33,500.76
  4. Step 4: Simplify right side
    75,643.64x = 3,799,419,097.57
  5. Step 5: Solve for x
    x = 3,799,419,097.57/75,643.64
  6. Step 6: Final answer
    x = 50,227.87

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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.