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Finding the Fourth Proportional to 33,384, 50,037.09 and 18,585.84

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Solution

The fourth proportional to 33,384, 50,037.09 and 18,585.84 is: 27,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384 : 50,037.09 = 18,585.84 : x
  2. Step 2: Convert to fraction form
    33,384/50,037.09 = 18,585.84/x
  3. Step 3: Cross multiply
    33,384x = 50,037.09 × 18,585.84
  4. Step 4: Simplify right side
    33,384x = 929,981,348.81
  5. Step 5: Solve for x
    x = 929,981,348.81/33,384
  6. Step 6: Final answer
    x = 27,857.10

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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.