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Finding the Fourth Proportional to 36,905.40, 50,929.20 and 20,138.40

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Solution

The fourth proportional to 36,905.40, 50,929.20 and 20,138.40 is: 27,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,905.40 : 50,929.20 = 20,138.40 : x
  2. Step 2: Convert to fraction form
    36,905.40/50,929.20 = 20,138.40/x
  3. Step 3: Cross multiply
    36,905.40x = 50,929.20 × 20,138.40
  4. Step 4: Simplify right side
    36,905.40x = 1,025,632,601.28
  5. Step 5: Solve for x
    x = 1,025,632,601.28/36,905.40
  6. Step 6: Final answer
    x = 27,790.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.