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Finding the Fourth Proportional to 54,777.20, 82,230.60 and 31,103.60

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Solution

The fourth proportional to 54,777.20, 82,230.60 and 31,103.60 is: 46,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,777.20 : 82,230.60 = 31,103.60 : x
  2. Step 2: Convert to fraction form
    54,777.20/82,230.60 = 31,103.60/x
  3. Step 3: Cross multiply
    54,777.20x = 82,230.60 × 31,103.60
  4. Step 4: Simplify right side
    54,777.20x = 2,557,667,690.16
  5. Step 5: Solve for x
    x = 2,557,667,690.16/54,777.20
  6. Step 6: Final answer
    x = 46,692.19

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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.