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Finding the Fourth Proportional to 71,776.80, 107,668.40 and 27,424.80

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Solution

The fourth proportional to 71,776.80, 107,668.40 and 27,424.80 is: 41,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776.80 : 107,668.40 = 27,424.80 : x
  2. Step 2: Convert to fraction form
    71,776.80/107,668.40 = 27,424.80/x
  3. Step 3: Cross multiply
    71,776.80x = 107,668.40 × 27,424.80
  4. Step 4: Simplify right side
    71,776.80x = 2,952,784,336.32
  5. Step 5: Solve for x
    x = 2,952,784,336.32/71,776.80
  6. Step 6: Final answer
    x = 41,138.42

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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.