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Finding the Fourth Proportional to 50,469.61, 69,651.22 and 27,808.59

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Solution

The fourth proportional to 50,469.61, 69,651.22 and 27,808.59 is: 38,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,469.61 : 69,651.22 = 27,808.59 : x
  2. Step 2: Convert to fraction form
    50,469.61/69,651.22 = 27,808.59/x
  3. Step 3: Cross multiply
    50,469.61x = 69,651.22 × 27,808.59
  4. Step 4: Simplify right side
    50,469.61x = 1,936,902,189.69
  5. Step 5: Solve for x
    x = 1,936,902,189.69/50,469.61
  6. Step 6: Final answer
    x = 38,377.60

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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.