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Finding the Fourth Proportional to 33,709.60, 50,515.80 and 14,974.30

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Solution

The fourth proportional to 33,709.60, 50,515.80 and 14,974.30 is: 22,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.60 : 50,515.80 = 14,974.30 : x
  2. Step 2: Convert to fraction form
    33,709.60/50,515.80 = 14,974.30/x
  3. Step 3: Cross multiply
    33,709.60x = 50,515.80 × 14,974.30
  4. Step 4: Simplify right side
    33,709.60x = 756,438,743.94
  5. Step 5: Solve for x
    x = 756,438,743.94/33,709.60
  6. Step 6: Final answer
    x = 22,439.86

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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.