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Finding the Fourth Proportional to 71,467.92, 107,210.16 and 27,127.80

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Solution

The fourth proportional to 71,467.92, 107,210.16 and 27,127.80 is: 40,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,467.92 : 107,210.16 = 27,127.80 : x
  2. Step 2: Convert to fraction form
    71,467.92/107,210.16 = 27,127.80/x
  3. Step 3: Cross multiply
    71,467.92x = 107,210.16 × 27,127.80
  4. Step 4: Simplify right side
    71,467.92x = 2,908,375,778.45
  5. Step 5: Solve for x
    x = 2,908,375,778.45/71,467.92
  6. Step 6: Final answer
    x = 40,694.84

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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.