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Finding the Fourth Proportional to 83,734.92, 125,606.43 and 33,808.77

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Solution

The fourth proportional to 83,734.92, 125,606.43 and 33,808.77 is: 50,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,734.92 : 125,606.43 = 33,808.77 : x
  2. Step 2: Convert to fraction form
    83,734.92/125,606.43 = 33,808.77/x
  3. Step 3: Cross multiply
    83,734.92x = 125,606.43 × 33,808.77
  4. Step 4: Simplify right side
    83,734.92x = 4,246,598,902.39
  5. Step 5: Solve for x
    x = 4,246,598,902.39/83,734.92
  6. Step 6: Final answer
    x = 50,714.79

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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.