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Finding the Fourth Proportional to 33,414.86, 50,106.30 and 11,222.08

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Solution

The fourth proportional to 33,414.86, 50,106.30 and 11,222.08 is: 16,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414.86 : 50,106.30 = 11,222.08 : x
  2. Step 2: Convert to fraction form
    33,414.86/50,106.30 = 11,222.08/x
  3. Step 3: Cross multiply
    33,414.86x = 50,106.30 × 11,222.08
  4. Step 4: Simplify right side
    33,414.86x = 562,296,739.76
  5. Step 5: Solve for x
    x = 562,296,739.76/33,414.86
  6. Step 6: Final answer
    x = 16,827.74

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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.