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Finding the Fourth Proportional to 50,072.50, 69,104.37 and 27,720.82

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Solution

The fourth proportional to 50,072.50, 69,104.37 and 27,720.82 is: 38,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,072.50 : 69,104.37 = 27,720.82 : x
  2. Step 2: Convert to fraction form
    50,072.50/69,104.37 = 27,720.82/x
  3. Step 3: Cross multiply
    50,072.50x = 69,104.37 × 27,720.82
  4. Step 4: Simplify right side
    50,072.50x = 1,915,629,801.98
  5. Step 5: Solve for x
    x = 1,915,629,801.98/50,072.50
  6. Step 6: Final answer
    x = 38,257.12

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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.