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Finding the Fourth Proportional to 50,144.88, 69,203.16 and 27,790.32

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Solution

The fourth proportional to 50,144.88, 69,203.16 and 27,790.32 is: 38,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,144.88 : 69,203.16 = 27,790.32 : x
  2. Step 2: Convert to fraction form
    50,144.88/69,203.16 = 27,790.32/x
  3. Step 3: Cross multiply
    50,144.88x = 69,203.16 × 27,790.32
  4. Step 4: Simplify right side
    50,144.88x = 1,923,177,961.41
  5. Step 5: Solve for x
    x = 1,923,177,961.41/50,144.88
  6. Step 6: Final answer
    x = 38,352.43

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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.