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Finding the Fourth Proportional to 33,964.84, 50,950 and 12,914.96

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Solution

The fourth proportional to 33,964.84, 50,950 and 12,914.96 is: 19,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,964.84 : 50,950 = 12,914.96 : x
  2. Step 2: Convert to fraction form
    33,964.84/50,950 = 12,914.96/x
  3. Step 3: Cross multiply
    33,964.84x = 50,950 × 12,914.96
  4. Step 4: Simplify right side
    33,964.84x = 658,017,212
  5. Step 5: Solve for x
    x = 658,017,212/33,964.84
  6. Step 6: Final answer
    x = 19,373.48

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1.5x scale

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.