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Finding the Fourth Proportional to 33,374.46, 50,014.96 and 22,143

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Solution

The fourth proportional to 33,374.46, 50,014.96 and 22,143 is: 33,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,374.46 : 50,014.96 = 22,143 : x
  2. Step 2: Convert to fraction form
    33,374.46/50,014.96 = 22,143/x
  3. Step 3: Cross multiply
    33,374.46x = 50,014.96 × 22,143
  4. Step 4: Simplify right side
    33,374.46x = 1,107,481,259.28
  5. Step 5: Solve for x
    x = 1,107,481,259.28/33,374.46
  6. Step 6: Final answer
    x = 33,183.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.