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Finding the Fourth Proportional to 33,197.34, 49,793.28 and 11,003.46

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Solution

The fourth proportional to 33,197.34, 49,793.28 and 11,003.46 is: 16,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.34 : 49,793.28 = 11,003.46 : x
  2. Step 2: Convert to fraction form
    33,197.34/49,793.28 = 11,003.46/x
  3. Step 3: Cross multiply
    33,197.34x = 49,793.28 × 11,003.46
  4. Step 4: Simplify right side
    33,197.34x = 547,898,364.75
  5. Step 5: Solve for x
    x = 547,898,364.75/33,197.34
  6. Step 6: Final answer
    x = 16,504.29

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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.