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Finding the Fourth Proportional to 50,138.75, 69,191.61 and 27,782.75

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Solution

The fourth proportional to 50,138.75, 69,191.61 and 27,782.75 is: 38,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,138.75 : 69,191.61 = 27,782.75 : x
  2. Step 2: Convert to fraction form
    50,138.75/69,191.61 = 27,782.75/x
  3. Step 3: Cross multiply
    50,138.75x = 69,191.61 × 27,782.75
  4. Step 4: Simplify right side
    50,138.75x = 1,922,333,202.73
  5. Step 5: Solve for x
    x = 1,922,333,202.73/50,138.75
  6. Step 6: Final answer
    x = 38,340.27

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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.