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Finding the Fourth Proportional to 29,585.80, 40,826.10 and 17,008.12

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Solution

The fourth proportional to 29,585.80, 40,826.10 and 17,008.12 is: 23,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585.80 : 40,826.10 = 17,008.12 : x
  2. Step 2: Convert to fraction form
    29,585.80/40,826.10 = 17,008.12/x
  3. Step 3: Cross multiply
    29,585.80x = 40,826.10 × 17,008.12
  4. Step 4: Simplify right side
    29,585.80x = 694,375,207.93
  5. Step 5: Solve for x
    x = 694,375,207.93/29,585.80
  6. Step 6: Final answer
    x = 23,469.88

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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.