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Finding the Fourth Proportional to 82,246.49, 123,374.09 and 23,086.78

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Solution

The fourth proportional to 82,246.49, 123,374.09 and 23,086.78 is: 34,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246.49 : 123,374.09 = 23,086.78 : x
  2. Step 2: Convert to fraction form
    82,246.49/123,374.09 = 23,086.78/x
  3. Step 3: Cross multiply
    82,246.49x = 123,374.09 × 23,086.78
  4. Step 4: Simplify right side
    82,246.49x = 2,848,309,971.95
  5. Step 5: Solve for x
    x = 2,848,309,971.95/82,246.49
  6. Step 6: Final answer
    x = 34,631.39

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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.