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Finding the Fourth Proportional to 33,402.12, 50,105.34 and 11,214.60

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Solution

The fourth proportional to 33,402.12, 50,105.34 and 11,214.60 is: 16,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,402.12 : 50,105.34 = 11,214.60 : x
  2. Step 2: Convert to fraction form
    33,402.12/50,105.34 = 11,214.60/x
  3. Step 3: Cross multiply
    33,402.12x = 50,105.34 × 11,214.60
  4. Step 4: Simplify right side
    33,402.12x = 561,911,345.96
  5. Step 5: Solve for x
    x = 561,911,345.96/33,402.12
  6. Step 6: Final answer
    x = 16,822.63

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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.