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Finding the Fourth Proportional to 33,769.92, 50,651.04 and 9,144

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Solution

The fourth proportional to 33,769.92, 50,651.04 and 9,144 is: 13,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,769.92 : 50,651.04 = 9,144 : x
  2. Step 2: Convert to fraction form
    33,769.92/50,651.04 = 9,144/x
  3. Step 3: Cross multiply
    33,769.92x = 50,651.04 × 9,144
  4. Step 4: Simplify right side
    33,769.92x = 463,153,109.76
  5. Step 5: Solve for x
    x = 463,153,109.76/33,769.92
  6. Step 6: Final answer
    x = 13,714.96

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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.