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Finding the Fourth Proportional to 37,138.20, 55,682.70 and 20,506.20

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Solution

The fourth proportional to 37,138.20, 55,682.70 and 20,506.20 is: 30,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138.20 : 55,682.70 = 20,506.20 : x
  2. Step 2: Convert to fraction form
    37,138.20/55,682.70 = 20,506.20/x
  3. Step 3: Cross multiply
    37,138.20x = 55,682.70 × 20,506.20
  4. Step 4: Simplify right side
    37,138.20x = 1,141,840,582.74
  5. Step 5: Solve for x
    x = 1,141,840,582.74/37,138.20
  6. Step 6: Final answer
    x = 30,745.72

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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.