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Finding the Fourth Proportional to 33,605.34, 50,415.66 and 10,233.60

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Solution

The fourth proportional to 33,605.34, 50,415.66 and 10,233.60 is: 15,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,605.34 : 50,415.66 = 10,233.60 : x
  2. Step 2: Convert to fraction form
    33,605.34/50,415.66 = 10,233.60/x
  3. Step 3: Cross multiply
    33,605.34x = 50,415.66 × 10,233.60
  4. Step 4: Simplify right side
    33,605.34x = 515,933,698.18
  5. Step 5: Solve for x
    x = 515,933,698.18/33,605.34
  6. Step 6: Final answer
    x = 15,352.73

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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.