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Finding the Fourth Proportional to 33,856.57, 50,790.75 and 14,149

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Solution

The fourth proportional to 33,856.57, 50,790.75 and 14,149 is: 21,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856.57 : 50,790.75 = 14,149 : x
  2. Step 2: Convert to fraction form
    33,856.57/50,790.75 = 14,149/x
  3. Step 3: Cross multiply
    33,856.57x = 50,790.75 × 14,149
  4. Step 4: Simplify right side
    33,856.57x = 718,638,321.75
  5. Step 5: Solve for x
    x = 718,638,321.75/33,856.57
  6. Step 6: Final answer
    x = 21,225.96

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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.