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Finding the Fourth Proportional to 33,447.20, 50,178.50 and 11,260

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Solution

The fourth proportional to 33,447.20, 50,178.50 and 11,260 is: 16,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,447.20 : 50,178.50 = 11,260 : x
  2. Step 2: Convert to fraction form
    33,447.20/50,178.50 = 11,260/x
  3. Step 3: Cross multiply
    33,447.20x = 50,178.50 × 11,260
  4. Step 4: Simplify right side
    33,447.20x = 565,009,910
  5. Step 5: Solve for x
    x = 565,009,910/33,447.20
  6. Step 6: Final answer
    x = 16,892.59

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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.