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Finding the Fourth Proportional to 37,668.20, 51,982.14 and 20,901.20

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Solution

The fourth proportional to 37,668.20, 51,982.14 and 20,901.20 is: 28,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668.20 : 51,982.14 = 20,901.20 : x
  2. Step 2: Convert to fraction form
    37,668.20/51,982.14 = 20,901.20/x
  3. Step 3: Cross multiply
    37,668.20x = 51,982.14 × 20,901.20
  4. Step 4: Simplify right side
    37,668.20x = 1,086,489,104.57
  5. Step 5: Solve for x
    x = 1,086,489,104.57/37,668.20
  6. Step 6: Final answer
    x = 28,843.67

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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.