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Finding the Fourth Proportional to 50,107.78, 69,149.76 and 27,447.73

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Solution

The fourth proportional to 50,107.78, 69,149.76 and 27,447.73 is: 37,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,107.78 : 69,149.76 = 27,447.73 : x
  2. Step 2: Convert to fraction form
    50,107.78/69,149.76 = 27,447.73/x
  3. Step 3: Cross multiply
    50,107.78x = 69,149.76 × 27,447.73
  4. Step 4: Simplify right side
    50,107.78x = 1,898,003,942.04
  5. Step 5: Solve for x
    x = 1,898,003,942.04/50,107.78
  6. Step 6: Final answer
    x = 37,878.43

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1.5x scale

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.