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Finding the Fourth Proportional to 54,864, 82,296 and 22,032

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Solution

The fourth proportional to 54,864, 82,296 and 22,032 is: 33,048

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,864 : 82,296 = 22,032 : x
  2. Step 2: Convert to fraction form
    54,864/82,296 = 22,032/x
  3. Step 3: Cross multiply
    54,864x = 82,296 × 22,032
  4. Step 4: Simplify right side
    54,864x = 1,813,145,472
  5. Step 5: Solve for x
    x = 1,813,145,472/54,864
  6. Step 6: Final answer
    x = 33,048

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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.