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Finding the Fourth Proportional to 54,233.56, 81,358.44 and 16,797

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Solution

The fourth proportional to 54,233.56, 81,358.44 and 16,797 is: 25,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,233.56 : 81,358.44 = 16,797 : x
  2. Step 2: Convert to fraction form
    54,233.56/81,358.44 = 16,797/x
  3. Step 3: Cross multiply
    54,233.56x = 81,358.44 × 16,797
  4. Step 4: Simplify right side
    54,233.56x = 1,366,577,716.68
  5. Step 5: Solve for x
    x = 1,366,577,716.68/54,233.56
  6. Step 6: Final answer
    x = 25,198.01

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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.