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Finding the Fourth Proportional to 49,163.45, 67,845.54 and 27,944.07

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Solution

The fourth proportional to 49,163.45, 67,845.54 and 27,944.07 is: 38,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163.45 : 67,845.54 = 27,944.07 : x
  2. Step 2: Convert to fraction form
    49,163.45/67,845.54 = 27,944.07/x
  3. Step 3: Cross multiply
    49,163.45x = 67,845.54 × 27,944.07
  4. Step 4: Simplify right side
    49,163.45x = 1,895,880,518.95
  5. Step 5: Solve for x
    x = 1,895,880,518.95/49,163.45
  6. Step 6: Final answer
    x = 38,562.81

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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.