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Finding the Fourth Proportional to 33,584.72, 50,340.12 and 13,852.48

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Solution

The fourth proportional to 33,584.72, 50,340.12 and 13,852.48 is: 20,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.72 : 50,340.12 = 13,852.48 : x
  2. Step 2: Convert to fraction form
    33,584.72/50,340.12 = 13,852.48/x
  3. Step 3: Cross multiply
    33,584.72x = 50,340.12 × 13,852.48
  4. Step 4: Simplify right side
    33,584.72x = 697,335,505.50
  5. Step 5: Solve for x
    x = 697,335,505.50/33,584.72
  6. Step 6: Final answer
    x = 20,763.48

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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.