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Finding the Fourth Proportional to 54,271.20, 81,406.80 and 41,149.20

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Solution

The fourth proportional to 54,271.20, 81,406.80 and 41,149.20 is: 61,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,271.20 : 81,406.80 = 41,149.20 : x
  2. Step 2: Convert to fraction form
    54,271.20/81,406.80 = 41,149.20/x
  3. Step 3: Cross multiply
    54,271.20x = 81,406.80 × 41,149.20
  4. Step 4: Simplify right side
    54,271.20x = 3,349,824,694.56
  5. Step 5: Solve for x
    x = 3,349,824,694.56/54,271.20
  6. Step 6: Final answer
    x = 61,723.80

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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.