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Finding the Fourth Proportional to 33,682.32, 50,523.48 and 16,157.16

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Solution

The fourth proportional to 33,682.32, 50,523.48 and 16,157.16 is: 24,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,682.32 : 50,523.48 = 16,157.16 : x
  2. Step 2: Convert to fraction form
    33,682.32/50,523.48 = 16,157.16/x
  3. Step 3: Cross multiply
    33,682.32x = 50,523.48 × 16,157.16
  4. Step 4: Simplify right side
    33,682.32x = 816,315,950.12
  5. Step 5: Solve for x
    x = 816,315,950.12/33,682.32
  6. Step 6: Final answer
    x = 24,235.74

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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.