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Finding the Fourth Proportional to 81,517.48, 122,276.18 and 53,809

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Solution

The fourth proportional to 81,517.48, 122,276.18 and 53,809 is: 80,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,517.48 : 122,276.18 = 53,809 : x
  2. Step 2: Convert to fraction form
    81,517.48/122,276.18 = 53,809/x
  3. Step 3: Cross multiply
    81,517.48x = 122,276.18 × 53,809
  4. Step 4: Simplify right side
    81,517.48x = 6,579,558,969.62
  5. Step 5: Solve for x
    x = 6,579,558,969.62/81,517.48
  6. Step 6: Final answer
    x = 80,713.47

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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.