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Finding the Fourth Proportional to 54,822.80, 82,234.20 and 31,203.20

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Solution

The fourth proportional to 54,822.80, 82,234.20 and 31,203.20 is: 46,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,822.80 : 82,234.20 = 31,203.20 : x
  2. Step 2: Convert to fraction form
    54,822.80/82,234.20 = 31,203.20/x
  3. Step 3: Cross multiply
    54,822.80x = 82,234.20 × 31,203.20
  4. Step 4: Simplify right side
    54,822.80x = 2,565,970,189.44
  5. Step 5: Solve for x
    x = 2,565,970,189.44/54,822.80
  6. Step 6: Final answer
    x = 46,804.80

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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.