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Finding the Fourth Proportional to 33,821.96, 50,722.68 and 11,622.56

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Solution

The fourth proportional to 33,821.96, 50,722.68 and 11,622.56 is: 17,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821.96 : 50,722.68 = 11,622.56 : x
  2. Step 2: Convert to fraction form
    33,821.96/50,722.68 = 11,622.56/x
  3. Step 3: Cross multiply
    33,821.96x = 50,722.68 × 11,622.56
  4. Step 4: Simplify right side
    33,821.96x = 589,527,391.66
  5. Step 5: Solve for x
    x = 589,527,391.66/33,821.96
  6. Step 6: Final answer
    x = 17,430.31

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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.