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Finding the Fourth Proportional to 38,588.20, 57,849.90 and 20,120.20

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Solution

The fourth proportional to 38,588.20, 57,849.90 and 20,120.20 is: 30,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,588.20 : 57,849.90 = 20,120.20 : x
  2. Step 2: Convert to fraction form
    38,588.20/57,849.90 = 20,120.20/x
  3. Step 3: Cross multiply
    38,588.20x = 57,849.90 × 20,120.20
  4. Step 4: Simplify right side
    38,588.20x = 1,163,951,557.98
  5. Step 5: Solve for x
    x = 1,163,951,557.98/38,588.20
  6. Step 6: Final answer
    x = 30,163.41

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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.