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Finding the Fourth Proportional to 38,638.20, 57,924.90 and 20,170.20

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Solution

The fourth proportional to 38,638.20, 57,924.90 and 20,170.20 is: 30,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638.20 : 57,924.90 = 20,170.20 : x
  2. Step 2: Convert to fraction form
    38,638.20/57,924.90 = 20,170.20/x
  3. Step 3: Cross multiply
    38,638.20x = 57,924.90 × 20,170.20
  4. Step 4: Simplify right side
    38,638.20x = 1,168,356,817.98
  5. Step 5: Solve for x
    x = 1,168,356,817.98/38,638.20
  6. Step 6: Final answer
    x = 30,238.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.