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Finding the Fourth Proportional to 82,050.36, 123,076.52 and 22,882.43

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Solution

The fourth proportional to 82,050.36, 123,076.52 and 22,882.43 is: 34,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,050.36 : 123,076.52 = 22,882.43 : x
  2. Step 2: Convert to fraction form
    82,050.36/123,076.52 = 22,882.43/x
  3. Step 3: Cross multiply
    82,050.36x = 123,076.52 × 22,882.43
  4. Step 4: Simplify right side
    82,050.36x = 2,816,289,123.75
  5. Step 5: Solve for x
    x = 2,816,289,123.75/82,050.36
  6. Step 6: Final answer
    x = 34,323.91

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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.