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Finding the Fourth Proportional to 33,616.50, 50,441.76 and 13,909.20

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Solution

The fourth proportional to 33,616.50, 50,441.76 and 13,909.20 is: 20,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,616.50 : 50,441.76 = 13,909.20 : x
  2. Step 2: Convert to fraction form
    33,616.50/50,441.76 = 13,909.20/x
  3. Step 3: Cross multiply
    33,616.50x = 50,441.76 × 13,909.20
  4. Step 4: Simplify right side
    33,616.50x = 701,604,528.19
  5. Step 5: Solve for x
    x = 701,604,528.19/33,616.50
  6. Step 6: Final answer
    x = 20,870.84

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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.