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Finding the Fourth Proportional to 33,157.62, 49,692.06 and 16,264.80

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Solution

The fourth proportional to 33,157.62, 49,692.06 and 16,264.80 is: 24,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.62 : 49,692.06 = 16,264.80 : x
  2. Step 2: Convert to fraction form
    33,157.62/49,692.06 = 16,264.80/x
  3. Step 3: Cross multiply
    33,157.62x = 49,692.06 × 16,264.80
  4. Step 4: Simplify right side
    33,157.62x = 808,231,417.49
  5. Step 5: Solve for x
    x = 808,231,417.49/33,157.62
  6. Step 6: Final answer
    x = 24,375.44

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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.