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Finding the Fourth Proportional to 49,418.94, 68,198.25 and 26,758.20

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Solution

The fourth proportional to 49,418.94, 68,198.25 and 26,758.20 is: 36,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,418.94 : 68,198.25 = 26,758.20 : x
  2. Step 2: Convert to fraction form
    49,418.94/68,198.25 = 26,758.20/x
  3. Step 3: Cross multiply
    49,418.94x = 68,198.25 × 26,758.20
  4. Step 4: Simplify right side
    49,418.94x = 1,824,862,385.62
  5. Step 5: Solve for x
    x = 1,824,862,385.62/49,418.94
  6. Step 6: Final answer
    x = 36,926.38

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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.