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Finding the Fourth Proportional to 48,908.16, 73,362.24 and 21,204

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Solution

The fourth proportional to 48,908.16, 73,362.24 and 21,204 is: 31,806

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,908.16 : 73,362.24 = 21,204 : x
  2. Step 2: Convert to fraction form
    48,908.16/73,362.24 = 21,204/x
  3. Step 3: Cross multiply
    48,908.16x = 73,362.24 × 21,204
  4. Step 4: Simplify right side
    48,908.16x = 1,555,572,936.96
  5. Step 5: Solve for x
    x = 1,555,572,936.96/48,908.16
  6. Step 6: Final answer
    x = 31,806

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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.