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Finding the Fourth Proportional to 82,892.72, 114,391.97 and 45,166.97

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Solution

The fourth proportional to 82,892.72, 114,391.97 and 45,166.97 is: 62,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,892.72 : 114,391.97 = 45,166.97 : x
  2. Step 2: Convert to fraction form
    82,892.72/114,391.97 = 45,166.97/x
  3. Step 3: Cross multiply
    82,892.72x = 114,391.97 × 45,166.97
  4. Step 4: Simplify right side
    82,892.72x = 5,166,737,879.44
  5. Step 5: Solve for x
    x = 5,166,737,879.44/82,892.72
  6. Step 6: Final answer
    x = 62,330.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.