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Finding the Fourth Proportional to 82,092.69, 123,125.37 and 22,912.47

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Solution

The fourth proportional to 82,092.69, 123,125.37 and 22,912.47 is: 34,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,092.69 : 123,125.37 = 22,912.47 : x
  2. Step 2: Convert to fraction form
    82,092.69/123,125.37 = 22,912.47/x
  3. Step 3: Cross multiply
    82,092.69x = 123,125.37 × 22,912.47
  4. Step 4: Simplify right side
    82,092.69x = 2,821,106,260.44
  5. Step 5: Solve for x
    x = 2,821,106,260.44/82,092.69
  6. Step 6: Final answer
    x = 34,364.89

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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.