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Finding the Fourth Proportional to 49,300.38, 68,031 and 30,183.30

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Solution

The fourth proportional to 49,300.38, 68,031 and 30,183.30 is: 41,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,300.38 : 68,031 = 30,183.30 : x
  2. Step 2: Convert to fraction form
    49,300.38/68,031 = 30,183.30/x
  3. Step 3: Cross multiply
    49,300.38x = 68,031 × 30,183.30
  4. Step 4: Simplify right side
    49,300.38x = 2,053,400,082.30
  5. Step 5: Solve for x
    x = 2,053,400,082.30/49,300.38
  6. Step 6: Final answer
    x = 41,650.80

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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.