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Finding the Fourth Proportional to 49,437, 68,223.06 and 27,081

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Solution

The fourth proportional to 49,437, 68,223.06 and 27,081 is: 37,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,437 : 68,223.06 = 27,081 : x
  2. Step 2: Convert to fraction form
    49,437/68,223.06 = 27,081/x
  3. Step 3: Cross multiply
    49,437x = 68,223.06 × 27,081
  4. Step 4: Simplify right side
    49,437x = 1,847,548,687.86
  5. Step 5: Solve for x
    x = 1,847,548,687.86/49,437
  6. Step 6: Final answer
    x = 37,371.78

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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.