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Finding the Fourth Proportional to 50,343.83, 69,472.11 and 27,683.78

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Solution

The fourth proportional to 50,343.83, 69,472.11 and 27,683.78 is: 38,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,343.83 : 69,472.11 = 27,683.78 : x
  2. Step 2: Convert to fraction form
    50,343.83/69,472.11 = 27,683.78/x
  3. Step 3: Cross multiply
    50,343.83x = 69,472.11 × 27,683.78
  4. Step 4: Simplify right side
    50,343.83x = 1,923,250,132.25
  5. Step 5: Solve for x
    x = 1,923,250,132.25/50,343.83
  6. Step 6: Final answer
    x = 38,202.30

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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.