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Finding the Fourth Proportional to 33,820.72, 50,737.44 and 10,441.68

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Solution

The fourth proportional to 33,820.72, 50,737.44 and 10,441.68 is: 15,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820.72 : 50,737.44 = 10,441.68 : x
  2. Step 2: Convert to fraction form
    33,820.72/50,737.44 = 10,441.68/x
  3. Step 3: Cross multiply
    33,820.72x = 50,737.44 × 10,441.68
  4. Step 4: Simplify right side
    33,820.72x = 529,784,112.50
  5. Step 5: Solve for x
    x = 529,784,112.50/33,820.72
  6. Step 6: Final answer
    x = 15,664.48

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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.