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Finding the Fourth Proportional to 82,270.53, 113,535.41 and 50,456.97

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Solution

The fourth proportional to 82,270.53, 113,535.41 and 50,456.97 is: 69,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270.53 : 113,535.41 = 50,456.97 : x
  2. Step 2: Convert to fraction form
    82,270.53/113,535.41 = 50,456.97/x
  3. Step 3: Cross multiply
    82,270.53x = 113,535.41 × 50,456.97
  4. Step 4: Simplify right side
    82,270.53x = 5,728,652,524.02
  5. Step 5: Solve for x
    x = 5,728,652,524.02/82,270.53
  6. Step 6: Final answer
    x = 69,631.89

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