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Finding the Fourth Proportional to 36,494.20, 50,362.00 and 20,578.65

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Solution

The fourth proportional to 36,494.20, 50,362.00 and 20,578.65 is: 28,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,494.20 : 50,362.00 = 20,578.65 : x
  2. Step 2: Convert to fraction form
    36,494.20/50,362.00 = 20,578.65/x
  3. Step 3: Cross multiply
    36,494.20x = 50,362.00 × 20,578.65
  4. Step 4: Simplify right side
    36,494.20x = 1,036,381,901.58
  5. Step 5: Solve for x
    x = 1,036,381,901.58/36,494.20
  6. Step 6: Final answer
    x = 28,398.54

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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.