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Finding the Fourth Proportional to 29,965.32, 41,348.07 and 17,217.54

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Solution

The fourth proportional to 29,965.32, 41,348.07 and 17,217.54 is: 23,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.32 : 41,348.07 = 17,217.54 : x
  2. Step 2: Convert to fraction form
    29,965.32/41,348.07 = 17,217.54/x
  3. Step 3: Cross multiply
    29,965.32x = 41,348.07 × 17,217.54
  4. Step 4: Simplify right side
    29,965.32x = 711,912,049.15
  5. Step 5: Solve for x
    x = 711,912,049.15/29,965.32
  6. Step 6: Final answer
    x = 23,757.87

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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.