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Finding the Fourth Proportional to 36,947.34, 50,986.26 and 20,180.34

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Solution

The fourth proportional to 36,947.34, 50,986.26 and 20,180.34 is: 27,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947.34 : 50,986.26 = 20,180.34 : x
  2. Step 2: Convert to fraction form
    36,947.34/50,986.26 = 20,180.34/x
  3. Step 3: Cross multiply
    36,947.34x = 50,986.26 × 20,180.34
  4. Step 4: Simplify right side
    36,947.34x = 1,028,920,062.13
  5. Step 5: Solve for x
    x = 1,028,920,062.13/36,947.34
  6. Step 6: Final answer
    x = 27,848.29

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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.