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Finding the Fourth Proportional to 33,539.74, 50,314.42 and 12,478.02

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Solution

The fourth proportional to 33,539.74, 50,314.42 and 12,478.02 is: 18,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,539.74 : 50,314.42 = 12,478.02 : x
  2. Step 2: Convert to fraction form
    33,539.74/50,314.42 = 12,478.02/x
  3. Step 3: Cross multiply
    33,539.74x = 50,314.42 × 12,478.02
  4. Step 4: Simplify right side
    33,539.74x = 627,824,339.05
  5. Step 5: Solve for x
    x = 627,824,339.05/33,539.74
  6. Step 6: Final answer
    x = 18,718.82

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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.