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Finding the Fourth Proportional to 36,905.32, 50,929.50 and 20,138.68

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Solution

The fourth proportional to 36,905.32, 50,929.50 and 20,138.68 is: 27,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,905.32 : 50,929.50 = 20,138.68 : x
  2. Step 2: Convert to fraction form
    36,905.32/50,929.50 = 20,138.68/x
  3. Step 3: Cross multiply
    36,905.32x = 50,929.50 × 20,138.68
  4. Step 4: Simplify right side
    36,905.32x = 1,025,652,903.06
  5. Step 5: Solve for x
    x = 1,025,652,903.06/36,905.32
  6. Step 6: Final answer
    x = 27,791.46

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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.