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Finding the Fourth Proportional to 102,816.50, 154,227.78 and 27,936.24

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Solution

The fourth proportional to 102,816.50, 154,227.78 and 27,936.24 is: 41,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,816.50 : 154,227.78 = 27,936.24 : x
  2. Step 2: Convert to fraction form
    102,816.50/154,227.78 = 27,936.24/x
  3. Step 3: Cross multiply
    102,816.50x = 154,227.78 × 27,936.24
  4. Step 4: Simplify right side
    102,816.50x = 4,308,544,276.75
  5. Step 5: Solve for x
    x = 4,308,544,276.75/102,816.50
  6. Step 6: Final answer
    x = 41,905.18

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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.