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Finding the Fourth Proportional to 82,174.72, 123,243.04 and 23,014.56

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Solution

The fourth proportional to 82,174.72, 123,243.04 and 23,014.56 is: 34,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,174.72 : 123,243.04 = 23,014.56 : x
  2. Step 2: Convert to fraction form
    82,174.72/123,243.04 = 23,014.56/x
  3. Step 3: Cross multiply
    82,174.72x = 123,243.04 × 23,014.56
  4. Step 4: Simplify right side
    82,174.72x = 2,836,384,338.66
  5. Step 5: Solve for x
    x = 2,836,384,338.66/82,174.72
  6. Step 6: Final answer
    x = 34,516.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.