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Finding the Fourth Proportional to 33,415.09, 50,123.85 and 11,229.19

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Solution

The fourth proportional to 33,415.09, 50,123.85 and 11,229.19 is: 16,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415.09 : 50,123.85 = 11,229.19 : x
  2. Step 2: Convert to fraction form
    33,415.09/50,123.85 = 11,229.19/x
  3. Step 3: Cross multiply
    33,415.09x = 50,123.85 × 11,229.19
  4. Step 4: Simplify right side
    33,415.09x = 562,850,235.18
  5. Step 5: Solve for x
    x = 562,850,235.18/33,415.09
  6. Step 6: Final answer
    x = 16,844.19

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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.