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Finding the Fourth Proportional to 49,960.52, 68,923.86 and 30,077

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Solution

The fourth proportional to 49,960.52, 68,923.86 and 30,077 is: 41,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,960.52 : 68,923.86 = 30,077 : x
  2. Step 2: Convert to fraction form
    49,960.52/68,923.86 = 30,077/x
  3. Step 3: Cross multiply
    49,960.52x = 68,923.86 × 30,077
  4. Step 4: Simplify right side
    49,960.52x = 2,073,022,937.22
  5. Step 5: Solve for x
    x = 2,073,022,937.22/49,960.52
  6. Step 6: Final answer
    x = 41,493.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.