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Finding the Fourth Proportional to 54,663.20, 82,033.20 and 23,520.80

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Solution

The fourth proportional to 54,663.20, 82,033.20 and 23,520.80 is: 35,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,663.20 : 82,033.20 = 23,520.80 : x
  2. Step 2: Convert to fraction form
    54,663.20/82,033.20 = 23,520.80/x
  3. Step 3: Cross multiply
    54,663.20x = 82,033.20 × 23,520.80
  4. Step 4: Simplify right side
    54,663.20x = 1,929,486,490.56
  5. Step 5: Solve for x
    x = 1,929,486,490.56/54,663.20
  6. Step 6: Final answer
    x = 35,297.72

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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.