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Finding the Fourth Proportional to 33,774.72, 50,585.94 and 16,257.66

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Solution

The fourth proportional to 33,774.72, 50,585.94 and 16,257.66 is: 24,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.72 : 50,585.94 = 16,257.66 : x
  2. Step 2: Convert to fraction form
    33,774.72/50,585.94 = 16,257.66/x
  3. Step 3: Cross multiply
    33,774.72x = 50,585.94 × 16,257.66
  4. Step 4: Simplify right side
    33,774.72x = 822,409,013.30
  5. Step 5: Solve for x
    x = 822,409,013.30/33,774.72
  6. Step 6: Final answer
    x = 24,349.84

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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.