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Finding the Fourth Proportional to 50,393.88, 69,544.20 and 27,735.48

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Solution

The fourth proportional to 50,393.88, 69,544.20 and 27,735.48 is: 38,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,393.88 : 69,544.20 = 27,735.48 : x
  2. Step 2: Convert to fraction form
    50,393.88/69,544.20 = 27,735.48/x
  3. Step 3: Cross multiply
    50,393.88x = 69,544.20 × 27,735.48
  4. Step 4: Simplify right side
    50,393.88x = 1,928,841,768.22
  5. Step 5: Solve for x
    x = 1,928,841,768.22/50,393.88
  6. Step 6: Final answer
    x = 38,275.32

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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.