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Finding the Fourth Proportional to 54,975.20, 82,462.80 and 27,327.20

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Solution

The fourth proportional to 54,975.20, 82,462.80 and 27,327.20 is: 40,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,975.20 : 82,462.80 = 27,327.20 : x
  2. Step 2: Convert to fraction form
    54,975.20/82,462.80 = 27,327.20/x
  3. Step 3: Cross multiply
    54,975.20x = 82,462.80 × 27,327.20
  4. Step 4: Simplify right side
    54,975.20x = 2,253,477,428.16
  5. Step 5: Solve for x
    x = 2,253,477,428.16/54,975.20
  6. Step 6: Final answer
    x = 40,990.80

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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.