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Finding the Fourth Proportional to 52,481.91, 78,668.18 and 22,891.80

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Solution

The fourth proportional to 52,481.91, 78,668.18 and 22,891.80 is: 34,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,481.91 : 78,668.18 = 22,891.80 : x
  2. Step 2: Convert to fraction form
    52,481.91/78,668.18 = 22,891.80/x
  3. Step 3: Cross multiply
    52,481.91x = 78,668.18 × 22,891.80
  4. Step 4: Simplify right side
    52,481.91x = 1,800,855,906.81
  5. Step 5: Solve for x
    x = 1,800,855,906.81/52,481.91
  6. Step 6: Final answer
    x = 34,313.84

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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.