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Finding the Fourth Proportional to 80,452.31, 111,045.72 and 50,219.42

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Solution

The fourth proportional to 80,452.31, 111,045.72 and 50,219.42 is: 69,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,452.31 : 111,045.72 = 50,219.42 : x
  2. Step 2: Convert to fraction form
    80,452.31/111,045.72 = 50,219.42/x
  3. Step 3: Cross multiply
    80,452.31x = 111,045.72 × 50,219.42
  4. Step 4: Simplify right side
    80,452.31x = 5,576,652,229.38
  5. Step 5: Solve for x
    x = 5,576,652,229.38/80,452.31
  6. Step 6: Final answer
    x = 69,316.25

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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.