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Finding the Fourth Proportional to 33,563.46, 50,346.48 and 10,189.29

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Solution

The fourth proportional to 33,563.46, 50,346.48 and 10,189.29 is: 15,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,563.46 : 50,346.48 = 10,189.29 : x
  2. Step 2: Convert to fraction form
    33,563.46/50,346.48 = 10,189.29/x
  3. Step 3: Cross multiply
    33,563.46x = 50,346.48 × 10,189.29
  4. Step 4: Simplify right side
    33,563.46x = 512,994,885.20
  5. Step 5: Solve for x
    x = 512,994,885.20/33,563.46
  6. Step 6: Final answer
    x = 15,284.33

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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.