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Finding the Fourth Proportional to 49,751.24, 68,655 and 27,089.78

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Solution

The fourth proportional to 49,751.24, 68,655 and 27,089.78 is: 37,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,751.24 : 68,655 = 27,089.78 : x
  2. Step 2: Convert to fraction form
    49,751.24/68,655 = 27,089.78/x
  3. Step 3: Cross multiply
    49,751.24x = 68,655 × 27,089.78
  4. Step 4: Simplify right side
    49,751.24x = 1,859,848,845.90
  5. Step 5: Solve for x
    x = 1,859,848,845.90/49,751.24
  6. Step 6: Final answer
    x = 37,382.96

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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.