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Finding the Fourth Proportional to 54,952.24, 82,365.48 and 21,654

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Solution

The fourth proportional to 54,952.24, 82,365.48 and 21,654 is: 32,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.24 : 82,365.48 = 21,654 : x
  2. Step 2: Convert to fraction form
    54,952.24/82,365.48 = 21,654/x
  3. Step 3: Cross multiply
    54,952.24x = 82,365.48 × 21,654
  4. Step 4: Simplify right side
    54,952.24x = 1,783,542,103.92
  5. Step 5: Solve for x
    x = 1,783,542,103.92/54,952.24
  6. Step 6: Final answer
    x = 32,456.22

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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.