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Finding the Fourth Proportional to 27,706.70, 41,523.60 and 19,906.40

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Solution

The fourth proportional to 27,706.70, 41,523.60 and 19,906.40 is: 29,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.70 : 41,523.60 = 19,906.40 : x
  2. Step 2: Convert to fraction form
    27,706.70/41,523.60 = 19,906.40/x
  3. Step 3: Cross multiply
    27,706.70x = 41,523.60 × 19,906.40
  4. Step 4: Simplify right side
    27,706.70x = 826,585,391.04
  5. Step 5: Solve for x
    x = 826,585,391.04/27,706.70
  6. Step 6: Final answer
    x = 29,833.41

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1.5x scale

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.