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Finding the Fourth Proportional to 54,752.78, 82,175.33 and 21,496.20

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Solution

The fourth proportional to 54,752.78, 82,175.33 and 21,496.20 is: 32,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,752.78 : 82,175.33 = 21,496.20 : x
  2. Step 2: Convert to fraction form
    54,752.78/82,175.33 = 21,496.20/x
  3. Step 3: Cross multiply
    54,752.78x = 82,175.33 × 21,496.20
  4. Step 4: Simplify right side
    54,752.78x = 1,766,457,328.75
  5. Step 5: Solve for x
    x = 1,766,457,328.75/54,752.78
  6. Step 6: Final answer
    x = 32,262.42

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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.