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Finding the Fourth Proportional to 82,362.78, 123,542.73 and 20,033.82

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Solution

The fourth proportional to 82,362.78, 123,542.73 and 20,033.82 is: 30,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,362.78 : 123,542.73 = 20,033.82 : x
  2. Step 2: Convert to fraction form
    82,362.78/123,542.73 = 20,033.82/x
  3. Step 3: Cross multiply
    82,362.78x = 123,542.73 × 20,033.82
  4. Step 4: Simplify right side
    82,362.78x = 2,475,032,815.13
  5. Step 5: Solve for x
    x = 2,475,032,815.13/82,362.78
  6. Step 6: Final answer
    x = 30,050.38

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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.