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Finding the Fourth Proportional to 49,223.46, 67,922.67 and 27,998.22

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Solution

The fourth proportional to 49,223.46, 67,922.67 and 27,998.22 is: 38,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,223.46 : 67,922.67 = 27,998.22 : x
  2. Step 2: Convert to fraction form
    49,223.46/67,922.67 = 27,998.22/x
  3. Step 3: Cross multiply
    49,223.46x = 67,922.67 × 27,998.22
  4. Step 4: Simplify right side
    49,223.46x = 1,901,713,857.65
  5. Step 5: Solve for x
    x = 1,901,713,857.65/49,223.46
  6. Step 6: Final answer
    x = 38,634.30

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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.