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Finding the Fourth Proportional to 53,894.64, 80,692.92 and 27,542.64

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Solution

The fourth proportional to 53,894.64, 80,692.92 and 27,542.64 is: 41,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,894.64 : 80,692.92 = 27,542.64 : x
  2. Step 2: Convert to fraction form
    53,894.64/80,692.92 = 27,542.64/x
  3. Step 3: Cross multiply
    53,894.64x = 80,692.92 × 27,542.64
  4. Step 4: Simplify right side
    53,894.64x = 2,222,496,046.11
  5. Step 5: Solve for x
    x = 2,222,496,046.11/53,894.64
  6. Step 6: Final answer
    x = 41,237.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.