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Finding the Fourth Proportional to 50,161.38, 69,198.21 and 42,200.70

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Solution

The fourth proportional to 50,161.38, 69,198.21 and 42,200.70 is: 58,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,161.38 : 69,198.21 = 42,200.70 : x
  2. Step 2: Convert to fraction form
    50,161.38/69,198.21 = 42,200.70/x
  3. Step 3: Cross multiply
    50,161.38x = 69,198.21 × 42,200.70
  4. Step 4: Simplify right side
    50,161.38x = 2,920,212,900.75
  5. Step 5: Solve for x
    x = 2,920,212,900.75/50,161.38
  6. Step 6: Final answer
    x = 58,216.36

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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.