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Finding the Fourth Proportional to 33,517.62, 50,282.92 and 12,739.50

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Solution

The fourth proportional to 33,517.62, 50,282.92 and 12,739.50 is: 19,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,517.62 : 50,282.92 = 12,739.50 : x
  2. Step 2: Convert to fraction form
    33,517.62/50,282.92 = 12,739.50/x
  3. Step 3: Cross multiply
    33,517.62x = 50,282.92 × 12,739.50
  4. Step 4: Simplify right side
    33,517.62x = 640,579,259.34
  5. Step 5: Solve for x
    x = 640,579,259.34/33,517.62
  6. Step 6: Final answer
    x = 19,111.72

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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.