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Finding the Fourth Proportional to 31,805.70, 47,708.55 and 20,132.10

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Solution

The fourth proportional to 31,805.70, 47,708.55 and 20,132.10 is: 30,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.70 : 47,708.55 = 20,132.10 : x
  2. Step 2: Convert to fraction form
    31,805.70/47,708.55 = 20,132.10/x
  3. Step 3: Cross multiply
    31,805.70x = 47,708.55 × 20,132.10
  4. Step 4: Simplify right side
    31,805.70x = 960,473,299.46
  5. Step 5: Solve for x
    x = 960,473,299.46/31,805.70
  6. Step 6: Final answer
    x = 30,198.15

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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.