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Finding the Fourth Proportional to 54,882.58, 82,267.36 and 21,589.15

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Solution

The fourth proportional to 54,882.58, 82,267.36 and 21,589.15 is: 32,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882.58 : 82,267.36 = 21,589.15 : x
  2. Step 2: Convert to fraction form
    54,882.58/82,267.36 = 21,589.15/x
  3. Step 3: Cross multiply
    54,882.58x = 82,267.36 × 21,589.15
  4. Step 4: Simplify right side
    54,882.58x = 1,776,082,375.14
  5. Step 5: Solve for x
    x = 1,776,082,375.14/54,882.58
  6. Step 6: Final answer
    x = 32,361.50

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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.