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Finding the Fourth Proportional to 82,057.56, 113,183.22 and 50,242.20

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Solution

The fourth proportional to 82,057.56, 113,183.22 and 50,242.20 is: 69,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.56 : 113,183.22 = 50,242.20 : x
  2. Step 2: Convert to fraction form
    82,057.56/113,183.22 = 50,242.20/x
  3. Step 3: Cross multiply
    82,057.56x = 113,183.22 × 50,242.20
  4. Step 4: Simplify right side
    82,057.56x = 5,686,573,975.88
  5. Step 5: Solve for x
    x = 5,686,573,975.88/82,057.56
  6. Step 6: Final answer
    x = 69,299.82

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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.