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Finding the Fourth Proportional to 50,107.12, 69,149.64 and 27,751.12

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Solution

The fourth proportional to 50,107.12, 69,149.64 and 27,751.12 is: 38,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,107.12 : 69,149.64 = 27,751.12 : x
  2. Step 2: Convert to fraction form
    50,107.12/69,149.64 = 27,751.12/x
  3. Step 3: Cross multiply
    50,107.12x = 69,149.64 × 27,751.12
  4. Step 4: Simplify right side
    50,107.12x = 1,918,979,957.60
  5. Step 5: Solve for x
    x = 1,918,979,957.60/50,107.12
  6. Step 6: Final answer
    x = 38,297.55

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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.