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Finding the Fourth Proportional to 70,786.65, 106,179.98 and 18,196.18

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Solution

The fourth proportional to 70,786.65, 106,179.98 and 18,196.18 is: 27,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,786.65 : 106,179.98 = 18,196.18 : x
  2. Step 2: Convert to fraction form
    70,786.65/106,179.98 = 18,196.18/x
  3. Step 3: Cross multiply
    70,786.65x = 106,179.98 × 18,196.18
  4. Step 4: Simplify right side
    70,786.65x = 1,932,070,028.48
  5. Step 5: Solve for x
    x = 1,932,070,028.48/70,786.65
  6. Step 6: Final answer
    x = 27,294.27

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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.