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Finding the Fourth Proportional to 50,380.25, 69,524.73 and 27,718.74

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Solution

The fourth proportional to 50,380.25, 69,524.73 and 27,718.74 is: 38,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,380.25 : 69,524.73 = 27,718.74 : x
  2. Step 2: Convert to fraction form
    50,380.25/69,524.73 = 27,718.74/x
  3. Step 3: Cross multiply
    50,380.25x = 69,524.73 × 27,718.74
  4. Step 4: Simplify right side
    50,380.25x = 1,927,137,914.44
  5. Step 5: Solve for x
    x = 1,927,137,914.44/50,380.25
  6. Step 6: Final answer
    x = 38,251.86

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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.