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Finding the Fourth Proportional to 54,462.80, 81,694.20 and 48,339.20

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Solution

The fourth proportional to 54,462.80, 81,694.20 and 48,339.20 is: 72,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462.80 : 81,694.20 = 48,339.20 : x
  2. Step 2: Convert to fraction form
    54,462.80/81,694.20 = 48,339.20/x
  3. Step 3: Cross multiply
    54,462.80x = 81,694.20 × 48,339.20
  4. Step 4: Simplify right side
    54,462.80x = 3,949,032,272.64
  5. Step 5: Solve for x
    x = 3,949,032,272.64/54,462.80
  6. Step 6: Final answer
    x = 72,508.80

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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.