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Finding the Fourth Proportional to 81,786.40, 122,751.60 and 48,464.80

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Solution

The fourth proportional to 81,786.40, 122,751.60 and 48,464.80 is: 72,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,786.40 : 122,751.60 = 48,464.80 : x
  2. Step 2: Convert to fraction form
    81,786.40/122,751.60 = 48,464.80/x
  3. Step 3: Cross multiply
    81,786.40x = 122,751.60 × 48,464.80
  4. Step 4: Simplify right side
    81,786.40x = 5,949,131,743.68
  5. Step 5: Solve for x
    x = 5,949,131,743.68/81,786.40
  6. Step 6: Final answer
    x = 72,739.87

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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.