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Finding the Fourth Proportional to 83,833.05, 125,722.90 and 27,662.69

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Solution

The fourth proportional to 83,833.05, 125,722.90 and 27,662.69 is: 41,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,833.05 : 125,722.90 = 27,662.69 : x
  2. Step 2: Convert to fraction form
    83,833.05/125,722.90 = 27,662.69/x
  3. Step 3: Cross multiply
    83,833.05x = 125,722.90 × 27,662.69
  4. Step 4: Simplify right side
    83,833.05x = 3,477,833,198.43
  5. Step 5: Solve for x
    x = 3,477,833,198.43/83,833.05
  6. Step 6: Final answer
    x = 41,485.23

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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.