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Finding the Fourth Proportional to 54,002.10, 80,893.80 and 30,601.20

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Solution

The fourth proportional to 54,002.10, 80,893.80 and 30,601.20 is: 45,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,002.10 : 80,893.80 = 30,601.20 : x
  2. Step 2: Convert to fraction form
    54,002.10/80,893.80 = 30,601.20/x
  3. Step 3: Cross multiply
    54,002.10x = 80,893.80 × 30,601.20
  4. Step 4: Simplify right side
    54,002.10x = 2,475,447,352.56
  5. Step 5: Solve for x
    x = 2,475,447,352.56/54,002.10
  6. Step 6: Final answer
    x = 45,839.83

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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.