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Finding the Fourth Proportional to 54,757.94, 82,147.02 and 17,327.42

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Solution

The fourth proportional to 54,757.94, 82,147.02 and 17,327.42 is: 25,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,757.94 : 82,147.02 = 17,327.42 : x
  2. Step 2: Convert to fraction form
    54,757.94/82,147.02 = 17,327.42/x
  3. Step 3: Cross multiply
    54,757.94x = 82,147.02 × 17,327.42
  4. Step 4: Simplify right side
    54,757.94x = 1,423,395,917.29
  5. Step 5: Solve for x
    x = 1,423,395,917.29/54,757.94
  6. Step 6: Final answer
    x = 25,994.33

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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.