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Finding the Fourth Proportional to 33,634.70, 50,451.24 and 10,261.34

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Solution

The fourth proportional to 33,634.70, 50,451.24 and 10,261.34 is: 15,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.70 : 50,451.24 = 10,261.34 : x
  2. Step 2: Convert to fraction form
    33,634.70/50,451.24 = 10,261.34/x
  3. Step 3: Cross multiply
    33,634.70x = 50,451.24 × 10,261.34
  4. Step 4: Simplify right side
    33,634.70x = 517,697,327.06
  5. Step 5: Solve for x
    x = 517,697,327.06/33,634.70
  6. Step 6: Final answer
    x = 15,391.76

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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.