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Finding the Fourth Proportional to 83,832.98, 125,722.79 and 27,662.62

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Solution

The fourth proportional to 83,832.98, 125,722.79 and 27,662.62 is: 41,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,832.98 : 125,722.79 = 27,662.62 : x
  2. Step 2: Convert to fraction form
    83,832.98/125,722.79 = 27,662.62/x
  3. Step 3: Cross multiply
    83,832.98x = 125,722.79 × 27,662.62
  4. Step 4: Simplify right side
    83,832.98x = 3,477,821,519.96
  5. Step 5: Solve for x
    x = 3,477,821,519.96/83,832.98
  6. Step 6: Final answer
    x = 41,485.13

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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.