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Finding the Fourth Proportional to 33,832.70, 50,752.46 and 11,643.15

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Solution

The fourth proportional to 33,832.70, 50,752.46 and 11,643.15 is: 17,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832.70 : 50,752.46 = 11,643.15 : x
  2. Step 2: Convert to fraction form
    33,832.70/50,752.46 = 11,643.15/x
  3. Step 3: Cross multiply
    33,832.70x = 50,752.46 × 11,643.15
  4. Step 4: Simplify right side
    33,832.70x = 590,918,446.43
  5. Step 5: Solve for x
    x = 590,918,446.43/33,832.70
  6. Step 6: Final answer
    x = 17,465.90

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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.