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Finding the Fourth Proportional to 33,589.68, 50,369.93 and 10,210.65

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Solution

The fourth proportional to 33,589.68, 50,369.93 and 10,210.65 is: 15,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589.68 : 50,369.93 = 10,210.65 : x
  2. Step 2: Convert to fraction form
    33,589.68/50,369.93 = 10,210.65/x
  3. Step 3: Cross multiply
    33,589.68x = 50,369.93 × 10,210.65
  4. Step 4: Simplify right side
    33,589.68x = 514,309,725.75
  5. Step 5: Solve for x
    x = 514,309,725.75/33,589.68
  6. Step 6: Final answer
    x = 15,311.54

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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.