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Finding the Fourth Proportional to 33,633.57, 50,449.89 and 11,462.40

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Solution

The fourth proportional to 33,633.57, 50,449.89 and 11,462.40 is: 17,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.57 : 50,449.89 = 11,462.40 : x
  2. Step 2: Convert to fraction form
    33,633.57/50,449.89 = 11,462.40/x
  3. Step 3: Cross multiply
    33,633.57x = 50,449.89 × 11,462.40
  4. Step 4: Simplify right side
    33,633.57x = 578,276,819.14
  5. Step 5: Solve for x
    x = 578,276,819.14/33,633.57
  6. Step 6: Final answer
    x = 17,193.44

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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.