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Finding the Fourth Proportional to 33,914.44, 50,822.34 and 16,363.72

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Solution

The fourth proportional to 33,914.44, 50,822.34 and 16,363.72 is: 24,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,914.44 : 50,822.34 = 16,363.72 : x
  2. Step 2: Convert to fraction form
    33,914.44/50,822.34 = 16,363.72/x
  3. Step 3: Cross multiply
    33,914.44x = 50,822.34 × 16,363.72
  4. Step 4: Simplify right side
    33,914.44x = 831,642,541.50
  5. Step 5: Solve for x
    x = 831,642,541.50/33,914.44
  6. Step 6: Final answer
    x = 24,521.78

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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.