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Finding the Fourth Proportional to 86,803.56, 119,791.44 and 49,077

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Solution

The fourth proportional to 86,803.56, 119,791.44 and 49,077 is: 67,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,803.56 : 119,791.44 = 49,077 : x
  2. Step 2: Convert to fraction form
    86,803.56/119,791.44 = 49,077/x
  3. Step 3: Cross multiply
    86,803.56x = 119,791.44 × 49,077
  4. Step 4: Simplify right side
    86,803.56x = 5,879,004,500.88
  5. Step 5: Solve for x
    x = 5,879,004,500.88/86,803.56
  6. Step 6: Final answer
    x = 67,727.69

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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.