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Finding the Fourth Proportional to 33,974.60, 50,961.90 and 9,014.60

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Solution

The fourth proportional to 33,974.60, 50,961.90 and 9,014.60 is: 13,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,974.60 : 50,961.90 = 9,014.60 : x
  2. Step 2: Convert to fraction form
    33,974.60/50,961.90 = 9,014.60/x
  3. Step 3: Cross multiply
    33,974.60x = 50,961.90 × 9,014.60
  4. Step 4: Simplify right side
    33,974.60x = 459,401,143.74
  5. Step 5: Solve for x
    x = 459,401,143.74/33,974.60
  6. Step 6: Final answer
    x = 13,521.90

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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.