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Finding the Fourth Proportional to 33,742.80, 50,541.30 and 27,910.80

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Solution

The fourth proportional to 33,742.80, 50,541.30 and 27,910.80 is: 41,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742.80 : 50,541.30 = 27,910.80 : x
  2. Step 2: Convert to fraction form
    33,742.80/50,541.30 = 27,910.80/x
  3. Step 3: Cross multiply
    33,742.80x = 50,541.30 × 27,910.80
  4. Step 4: Simplify right side
    33,742.80x = 1,410,648,116.04
  5. Step 5: Solve for x
    x = 1,410,648,116.04/33,742.80
  6. Step 6: Final answer
    x = 41,805.90

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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.