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Finding the Fourth Proportional to 54,992.28, 82,301.42 and 33,945.60

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Solution

The fourth proportional to 54,992.28, 82,301.42 and 33,945.60 is: 50,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,992.28 : 82,301.42 = 33,945.60 : x
  2. Step 2: Convert to fraction form
    54,992.28/82,301.42 = 33,945.60/x
  3. Step 3: Cross multiply
    54,992.28x = 82,301.42 × 33,945.60
  4. Step 4: Simplify right side
    54,992.28x = 2,793,771,082.75
  5. Step 5: Solve for x
    x = 2,793,771,082.75/54,992.28
  6. Step 6: Final answer
    x = 50,802.97

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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.