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Finding the Fourth Proportional to 29,706.96, 41,010.84 and 20,197.20

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Solution

The fourth proportional to 29,706.96, 41,010.84 and 20,197.20 is: 27,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.96 : 41,010.84 = 20,197.20 : x
  2. Step 2: Convert to fraction form
    29,706.96/41,010.84 = 20,197.20/x
  3. Step 3: Cross multiply
    29,706.96x = 41,010.84 × 20,197.20
  4. Step 4: Simplify right side
    29,706.96x = 828,304,137.65
  5. Step 5: Solve for x
    x = 828,304,137.65/29,706.96
  6. Step 6: Final answer
    x = 27,882.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.