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Finding the Fourth Proportional to 49,163.67, 67,845.95 and 27,942.95

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Solution

The fourth proportional to 49,163.67, 67,845.95 and 27,942.95 is: 38,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163.67 : 67,845.95 = 27,942.95 : x
  2. Step 2: Convert to fraction form
    49,163.67/67,845.95 = 27,942.95/x
  3. Step 3: Cross multiply
    49,163.67x = 67,845.95 × 27,942.95
  4. Step 4: Simplify right side
    49,163.67x = 1,895,815,509.61
  5. Step 5: Solve for x
    x = 1,895,815,509.61/49,163.67
  6. Step 6: Final answer
    x = 38,561.31

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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.