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Finding the Fourth Proportional to 33,770.26, 50,657.56 and 12,993.76

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Solution

The fourth proportional to 33,770.26, 50,657.56 and 12,993.76 is: 19,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,770.26 : 50,657.56 = 12,993.76 : x
  2. Step 2: Convert to fraction form
    33,770.26/50,657.56 = 12,993.76/x
  3. Step 3: Cross multiply
    33,770.26x = 50,657.56 × 12,993.76
  4. Step 4: Simplify right side
    33,770.26x = 658,232,176.83
  5. Step 5: Solve for x
    x = 658,232,176.83/33,770.26
  6. Step 6: Final answer
    x = 19,491.47

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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.