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Finding the Fourth Proportional to 54,062.16, 81,122.31 and 22,494

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Solution

The fourth proportional to 54,062.16, 81,122.31 and 22,494 is: 33,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,062.16 : 81,122.31 = 22,494 : x
  2. Step 2: Convert to fraction form
    54,062.16/81,122.31 = 22,494/x
  3. Step 3: Cross multiply
    54,062.16x = 81,122.31 × 22,494
  4. Step 4: Simplify right side
    54,062.16x = 1,824,765,241.14
  5. Step 5: Solve for x
    x = 1,824,765,241.14/54,062.16
  6. Step 6: Final answer
    x = 33,753.10

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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.