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Finding the Fourth Proportional to 67,858.43, 101,738.43 and 45,616.64

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Solution

The fourth proportional to 67,858.43, 101,738.43 and 45,616.64 is: 68,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,858.43 : 101,738.43 = 45,616.64 : x
  2. Step 2: Convert to fraction form
    67,858.43/101,738.43 = 45,616.64/x
  3. Step 3: Cross multiply
    67,858.43x = 101,738.43 × 45,616.64
  4. Step 4: Simplify right side
    67,858.43x = 4,640,964,826.78
  5. Step 5: Solve for x
    x = 4,640,964,826.78/67,858.43
  6. Step 6: Final answer
    x = 68,391.87

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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.