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Finding the Fourth Proportional to 50,375.32, 69,517.94 and 27,713.82

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Solution

The fourth proportional to 50,375.32, 69,517.94 and 27,713.82 is: 38,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,375.32 : 69,517.94 = 27,713.82 : x
  2. Step 2: Convert to fraction form
    50,375.32/69,517.94 = 27,713.82/x
  3. Step 3: Cross multiply
    50,375.32x = 69,517.94 × 27,713.82
  4. Step 4: Simplify right side
    50,375.32x = 1,926,607,953.94
  5. Step 5: Solve for x
    x = 1,926,607,953.94/50,375.32
  6. Step 6: Final answer
    x = 38,245.08

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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.