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Finding the Fourth Proportional to 20,105.70, 30,182.85 and 19,959.90

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Solution

The fourth proportional to 20,105.70, 30,182.85 and 19,959.90 is: 29,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.70 : 30,182.85 = 19,959.90 : x
  2. Step 2: Convert to fraction form
    20,105.70/30,182.85 = 19,959.90/x
  3. Step 3: Cross multiply
    20,105.70x = 30,182.85 × 19,959.90
  4. Step 4: Simplify right side
    20,105.70x = 602,446,667.72
  5. Step 5: Solve for x
    x = 602,446,667.72/20,105.70
  6. Step 6: Final answer
    x = 29,963.97

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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.