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Finding the Fourth Proportional to 75,759.94, 113,599.86 and 33,621.70

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Solution

The fourth proportional to 75,759.94, 113,599.86 and 33,621.70 is: 50,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,759.94 : 113,599.86 = 33,621.70 : x
  2. Step 2: Convert to fraction form
    75,759.94/113,599.86 = 33,621.70/x
  3. Step 3: Cross multiply
    75,759.94x = 113,599.86 × 33,621.70
  4. Step 4: Simplify right side
    75,759.94x = 3,819,420,412.96
  5. Step 5: Solve for x
    x = 3,819,420,412.96/75,759.94
  6. Step 6: Final answer
    x = 50,414.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.