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Finding the Fourth Proportional to 33,845.46, 50,774.67 and 10,467.78

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Solution

The fourth proportional to 33,845.46, 50,774.67 and 10,467.78 is: 15,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,845.46 : 50,774.67 = 10,467.78 : x
  2. Step 2: Convert to fraction form
    33,845.46/50,774.67 = 10,467.78/x
  3. Step 3: Cross multiply
    33,845.46x = 50,774.67 × 10,467.78
  4. Step 4: Simplify right side
    33,845.46x = 531,498,075.13
  5. Step 5: Solve for x
    x = 531,498,075.13/33,845.46
  6. Step 6: Final answer
    x = 15,703.67

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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.