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Finding the Fourth Proportional to 83,791.96, 125,661.23 and 27,621.60

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Solution

The fourth proportional to 83,791.96, 125,661.23 and 27,621.60 is: 41,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,791.96 : 125,661.23 = 27,621.60 : x
  2. Step 2: Convert to fraction form
    83,791.96/125,661.23 = 27,621.60/x
  3. Step 3: Cross multiply
    83,791.96x = 125,661.23 × 27,621.60
  4. Step 4: Simplify right side
    83,791.96x = 3,470,964,299.62
  5. Step 5: Solve for x
    x = 3,470,964,299.62/83,791.96
  6. Step 6: Final answer
    x = 41,423.60

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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.