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Finding the Fourth Proportional to 67,414.84, 101,037.21 and 34,143.28

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Solution

The fourth proportional to 67,414.84, 101,037.21 and 34,143.28 is: 51,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,414.84 : 101,037.21 = 34,143.28 : x
  2. Step 2: Convert to fraction form
    67,414.84/101,037.21 = 34,143.28/x
  3. Step 3: Cross multiply
    67,414.84x = 101,037.21 × 34,143.28
  4. Step 4: Simplify right side
    67,414.84x = 3,449,741,751.45
  5. Step 5: Solve for x
    x = 3,449,741,751.45/67,414.84
  6. Step 6: Final answer
    x = 51,171.85

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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.