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Finding the Fourth Proportional to 50,608.87, 69,840.80 and 27,947.82

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Solution

The fourth proportional to 50,608.87, 69,840.80 and 27,947.82 is: 38,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,608.87 : 69,840.80 = 27,947.82 : x
  2. Step 2: Convert to fraction form
    50,608.87/69,840.80 = 27,947.82/x
  3. Step 3: Cross multiply
    50,608.87x = 69,840.80 × 27,947.82
  4. Step 4: Simplify right side
    50,608.87x = 1,951,898,107.06
  5. Step 5: Solve for x
    x = 1,951,898,107.06/50,608.87
  6. Step 6: Final answer
    x = 38,568.30

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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.