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Finding the Fourth Proportional to 50,105.80, 69,145.86 and 27,749.80

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Solution

The fourth proportional to 50,105.80, 69,145.86 and 27,749.80 is: 38,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,105.80 : 69,145.86 = 27,749.80 : x
  2. Step 2: Convert to fraction form
    50,105.80/69,145.86 = 27,749.80/x
  3. Step 3: Cross multiply
    50,105.80x = 69,145.86 × 27,749.80
  4. Step 4: Simplify right side
    50,105.80x = 1,918,783,785.83
  5. Step 5: Solve for x
    x = 1,918,783,785.83/50,105.80
  6. Step 6: Final answer
    x = 38,294.64

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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.