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Finding the Fourth Proportional to 73,161.35, 109,657.32 and 33,635.51

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Solution

The fourth proportional to 73,161.35, 109,657.32 and 33,635.51 is: 50,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,161.35 : 109,657.32 = 33,635.51 : x
  2. Step 2: Convert to fraction form
    73,161.35/109,657.32 = 33,635.51/x
  3. Step 3: Cross multiply
    73,161.35x = 109,657.32 × 33,635.51
  4. Step 4: Simplify right side
    73,161.35x = 3,688,380,031.44
  5. Step 5: Solve for x
    x = 3,688,380,031.44/73,161.35
  6. Step 6: Final answer
    x = 50,414.32

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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.