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Finding the Fourth Proportional to 33,695.68, 50,534.84 and 9,997.64

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Solution

The fourth proportional to 33,695.68, 50,534.84 and 9,997.64 is: 14,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,695.68 : 50,534.84 = 9,997.64 : x
  2. Step 2: Convert to fraction form
    33,695.68/50,534.84 = 9,997.64/x
  3. Step 3: Cross multiply
    33,695.68x = 50,534.84 × 9,997.64
  4. Step 4: Simplify right side
    33,695.68x = 505,229,137.78
  5. Step 5: Solve for x
    x = 505,229,137.78/33,695.68
  6. Step 6: Final answer
    x = 14,993.88

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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.