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Finding the Fourth Proportional to 73,683.20, 110,524.80 and 18,279.20

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Solution

The fourth proportional to 73,683.20, 110,524.80 and 18,279.20 is: 27,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,683.20 : 110,524.80 = 18,279.20 : x
  2. Step 2: Convert to fraction form
    73,683.20/110,524.80 = 18,279.20/x
  3. Step 3: Cross multiply
    73,683.20x = 110,524.80 × 18,279.20
  4. Step 4: Simplify right side
    73,683.20x = 2,020,304,924.16
  5. Step 5: Solve for x
    x = 2,020,304,924.16/73,683.20
  6. Step 6: Final answer
    x = 27,418.80

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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.