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Finding the Fourth Proportional to 68,578.28, 102,797.02 and 33,474.76

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Solution

The fourth proportional to 68,578.28, 102,797.02 and 33,474.76 is: 50,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,578.28 : 102,797.02 = 33,474.76 : x
  2. Step 2: Convert to fraction form
    68,578.28/102,797.02 = 33,474.76/x
  3. Step 3: Cross multiply
    68,578.28x = 102,797.02 × 33,474.76
  4. Step 4: Simplify right side
    68,578.28x = 3,441,105,573.22
  5. Step 5: Solve for x
    x = 3,441,105,573.22/68,578.28
  6. Step 6: Final answer
    x = 50,177.78

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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.