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Finding the Fourth Proportional to 33,385.20, 50,077.67 and 13,663.78

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Solution

The fourth proportional to 33,385.20, 50,077.67 and 13,663.78 is: 20,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,385.20 : 50,077.67 = 13,663.78 : x
  2. Step 2: Convert to fraction form
    33,385.20/50,077.67 = 13,663.78/x
  3. Step 3: Cross multiply
    33,385.20x = 50,077.67 × 13,663.78
  4. Step 4: Simplify right side
    33,385.20x = 684,250,265.79
  5. Step 5: Solve for x
    x = 684,250,265.79/33,385.20
  6. Step 6: Final answer
    x = 20,495.62

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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.