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Finding the Fourth Proportional to 33,991.65, 50,932.80 and 21,489.30

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Solution

The fourth proportional to 33,991.65, 50,932.80 and 21,489.30 is: 32,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991.65 : 50,932.80 = 21,489.30 : x
  2. Step 2: Convert to fraction form
    33,991.65/50,932.80 = 21,489.30/x
  3. Step 3: Cross multiply
    33,991.65x = 50,932.80 × 21,489.30
  4. Step 4: Simplify right side
    33,991.65x = 1,094,510,219.04
  5. Step 5: Solve for x
    x = 1,094,510,219.04/33,991.65
  6. Step 6: Final answer
    x = 32,199.38

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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.