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Finding the Fourth Proportional to 53,589.44, 80,395.20 and 18,524.48

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Solution

The fourth proportional to 53,589.44, 80,395.20 and 18,524.48 is: 27,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,589.44 : 80,395.20 = 18,524.48 : x
  2. Step 2: Convert to fraction form
    53,589.44/80,395.20 = 18,524.48/x
  3. Step 3: Cross multiply
    53,589.44x = 80,395.20 × 18,524.48
  4. Step 4: Simplify right side
    53,589.44x = 1,489,279,274.50
  5. Step 5: Solve for x
    x = 1,489,279,274.50/53,589.44
  6. Step 6: Final answer
    x = 27,790.54

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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.