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Finding the Fourth Proportional to 33,835.32, 50,756.39 and 11,645.78

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Solution

The fourth proportional to 33,835.32, 50,756.39 and 11,645.78 is: 17,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,835.32 : 50,756.39 = 11,645.78 : x
  2. Step 2: Convert to fraction form
    33,835.32/50,756.39 = 11,645.78/x
  3. Step 3: Cross multiply
    33,835.32x = 50,756.39 × 11,645.78
  4. Step 4: Simplify right side
    33,835.32x = 591,097,526.87
  5. Step 5: Solve for x
    x = 591,097,526.87/33,835.32
  6. Step 6: Final answer
    x = 17,469.84

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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.