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Finding the Fourth Proportional to 82,053.36, 123,081.02 and 22,885.43

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Solution

The fourth proportional to 82,053.36, 123,081.02 and 22,885.43 is: 34,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.36 : 123,081.02 = 22,885.43 : x
  2. Step 2: Convert to fraction form
    82,053.36/123,081.02 = 22,885.43/x
  3. Step 3: Cross multiply
    82,053.36x = 123,081.02 × 22,885.43
  4. Step 4: Simplify right side
    82,053.36x = 2,816,762,067.54
  5. Step 5: Solve for x
    x = 2,816,762,067.54/82,053.36
  6. Step 6: Final answer
    x = 34,328.42

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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.