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Finding the Fourth Proportional to 33,829.60, 50,733.20 and 11,639.20

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Solution

The fourth proportional to 33,829.60, 50,733.20 and 11,639.20 is: 17,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.60 : 50,733.20 = 11,639.20 : x
  2. Step 2: Convert to fraction form
    33,829.60/50,733.20 = 11,639.20/x
  3. Step 3: Cross multiply
    33,829.60x = 50,733.20 × 11,639.20
  4. Step 4: Simplify right side
    33,829.60x = 590,493,861.44
  5. Step 5: Solve for x
    x = 590,493,861.44/33,829.60
  6. Step 6: Final answer
    x = 17,454.95

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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.