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Finding the Fourth Proportional to 83,906.60, 125,957.10 and 50,664.20

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Solution

The fourth proportional to 83,906.60, 125,957.10 and 50,664.20 is: 76,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.60 : 125,957.10 = 50,664.20 : x
  2. Step 2: Convert to fraction form
    83,906.60/125,957.10 = 50,664.20/x
  3. Step 3: Cross multiply
    83,906.60x = 125,957.10 × 50,664.20
  4. Step 4: Simplify right side
    83,906.60x = 6,381,515,705.82
  5. Step 5: Solve for x
    x = 6,381,515,705.82/83,906.60
  6. Step 6: Final answer
    x = 76,054.99

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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.