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Finding the Fourth Proportional to 54,753.71, 82,224.32 and 33,817.64

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Solution

The fourth proportional to 54,753.71, 82,224.32 and 33,817.64 is: 50,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,753.71 : 82,224.32 = 33,817.64 : x
  2. Step 2: Convert to fraction form
    54,753.71/82,224.32 = 33,817.64/x
  3. Step 3: Cross multiply
    54,753.71x = 82,224.32 × 33,817.64
  4. Step 4: Simplify right side
    54,753.71x = 2,780,631,872.80
  5. Step 5: Solve for x
    x = 2,780,631,872.80/54,753.71
  6. Step 6: Final answer
    x = 50,784.36

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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.