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Finding the Fourth Proportional to 54,773.60, 82,192.80 and 36,107.60

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Solution

The fourth proportional to 54,773.60, 82,192.80 and 36,107.60 is: 54,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,773.60 : 82,192.80 = 36,107.60 : x
  2. Step 2: Convert to fraction form
    54,773.60/82,192.80 = 36,107.60/x
  3. Step 3: Cross multiply
    54,773.60x = 82,192.80 × 36,107.60
  4. Step 4: Simplify right side
    54,773.60x = 2,967,784,745.28
  5. Step 5: Solve for x
    x = 2,967,784,745.28/54,773.60
  6. Step 6: Final answer
    x = 54,182.76

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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.