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Finding the Fourth Proportional to 33,412.09, 50,119.35 and 11,226.19

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Solution

The fourth proportional to 33,412.09, 50,119.35 and 11,226.19 is: 16,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412.09 : 50,119.35 = 11,226.19 : x
  2. Step 2: Convert to fraction form
    33,412.09/50,119.35 = 11,226.19/x
  3. Step 3: Cross multiply
    33,412.09x = 50,119.35 × 11,226.19
  4. Step 4: Simplify right side
    33,412.09x = 562,649,345.78
  5. Step 5: Solve for x
    x = 562,649,345.78/33,412.09
  6. Step 6: Final answer
    x = 16,839.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.