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Finding the Fourth Proportional to 33,871.40, 50,811.82 and 14,145.44

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Solution

The fourth proportional to 33,871.40, 50,811.82 and 14,145.44 is: 21,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,871.40 : 50,811.82 = 14,145.44 : x
  2. Step 2: Convert to fraction form
    33,871.40/50,811.82 = 14,145.44/x
  3. Step 3: Cross multiply
    33,871.40x = 50,811.82 × 14,145.44
  4. Step 4: Simplify right side
    33,871.40x = 718,755,551.10
  5. Step 5: Solve for x
    x = 718,755,551.10/33,871.40
  6. Step 6: Final answer
    x = 21,220.13

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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.