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Finding the Fourth Proportional to 82,614.83, 123,922 and 23,450.56

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Solution

The fourth proportional to 82,614.83, 123,922 and 23,450.56 is: 35,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,614.83 : 123,922 = 23,450.56 : x
  2. Step 2: Convert to fraction form
    82,614.83/123,922 = 23,450.56/x
  3. Step 3: Cross multiply
    82,614.83x = 123,922 × 23,450.56
  4. Step 4: Simplify right side
    82,614.83x = 2,906,040,296.32
  5. Step 5: Solve for x
    x = 2,906,040,296.32/82,614.83
  6. Step 6: Final answer
    x = 35,175.77

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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.