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Finding the Fourth Proportional to 33,511.42, 50,268.34 and 9,814.67

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Solution

The fourth proportional to 33,511.42, 50,268.34 and 9,814.67 is: 14,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,511.42 : 50,268.34 = 9,814.67 : x
  2. Step 2: Convert to fraction form
    33,511.42/50,268.34 = 9,814.67/x
  3. Step 3: Cross multiply
    33,511.42x = 50,268.34 × 9,814.67
  4. Step 4: Simplify right side
    33,511.42x = 493,366,917.21
  5. Step 5: Solve for x
    x = 493,366,917.21/33,511.42
  6. Step 6: Final answer
    x = 14,722.35

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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.