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Finding the Fourth Proportional to 36,724.84, 50,674.02 and 20,806

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Solution

The fourth proportional to 36,724.84, 50,674.02 and 20,806 is: 28,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,724.84 : 50,674.02 = 20,806 : x
  2. Step 2: Convert to fraction form
    36,724.84/50,674.02 = 20,806/x
  3. Step 3: Cross multiply
    36,724.84x = 50,674.02 × 20,806
  4. Step 4: Simplify right side
    36,724.84x = 1,054,323,660.12
  5. Step 5: Solve for x
    x = 1,054,323,660.12/36,724.84
  6. Step 6: Final answer
    x = 28,708.73

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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.