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Finding the Fourth Proportional to 50,907.56, 76,398.34 and 38,443

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Solution

The fourth proportional to 50,907.56, 76,398.34 and 38,443 is: 57,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,907.56 : 76,398.34 = 38,443 : x
  2. Step 2: Convert to fraction form
    50,907.56/76,398.34 = 38,443/x
  3. Step 3: Cross multiply
    50,907.56x = 76,398.34 × 38,443
  4. Step 4: Simplify right side
    50,907.56x = 2,936,981,384.62
  5. Step 5: Solve for x
    x = 2,936,981,384.62/50,907.56
  6. Step 6: Final answer
    x = 57,692.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.