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Finding the Fourth Proportional to 33,202.85, 49,811.67 and 12,142.42

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Solution

The fourth proportional to 33,202.85, 49,811.67 and 12,142.42 is: 18,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.85 : 49,811.67 = 12,142.42 : x
  2. Step 2: Convert to fraction form
    33,202.85/49,811.67 = 12,142.42/x
  3. Step 3: Cross multiply
    33,202.85x = 49,811.67 × 12,142.42
  4. Step 4: Simplify right side
    33,202.85x = 604,834,218.04
  5. Step 5: Solve for x
    x = 604,834,218.04/33,202.85
  6. Step 6: Final answer
    x = 18,216.34

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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.