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Finding the Fourth Proportional to 50,375.86, 69,520.32 and 27,716.49

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Solution

The fourth proportional to 50,375.86, 69,520.32 and 27,716.49 is: 38,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,375.86 : 69,520.32 = 27,716.49 : x
  2. Step 2: Convert to fraction form
    50,375.86/69,520.32 = 27,716.49/x
  3. Step 3: Cross multiply
    50,375.86x = 69,520.32 × 27,716.49
  4. Step 4: Simplify right side
    50,375.86x = 1,926,859,254.08
  5. Step 5: Solve for x
    x = 1,926,859,254.08/50,375.86
  6. Step 6: Final answer
    x = 38,249.66

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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.