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Finding the Fourth Proportional to 89,839.80, 123,969.06 and 49,551

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Solution

The fourth proportional to 89,839.80, 123,969.06 and 49,551 is: 68,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,839.80 : 123,969.06 = 49,551 : x
  2. Step 2: Convert to fraction form
    89,839.80/123,969.06 = 49,551/x
  3. Step 3: Cross multiply
    89,839.80x = 123,969.06 × 49,551
  4. Step 4: Simplify right side
    89,839.80x = 6,142,790,892.06
  5. Step 5: Solve for x
    x = 6,142,790,892.06/89,839.80
  6. Step 6: Final answer
    x = 68,374.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.