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Finding the Fourth Proportional to 89,674.10, 123,745.38 and 49,380.20

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Solution

The fourth proportional to 89,674.10, 123,745.38 and 49,380.20 is: 68,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,674.10 : 123,745.38 = 49,380.20 : x
  2. Step 2: Convert to fraction form
    89,674.10/123,745.38 = 49,380.20/x
  3. Step 3: Cross multiply
    89,674.10x = 123,745.38 × 49,380.20
  4. Step 4: Simplify right side
    89,674.10x = 6,110,571,613.48
  5. Step 5: Solve for x
    x = 6,110,571,613.48/89,674.10
  6. Step 6: Final answer
    x = 68,141.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.