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Finding the Fourth Proportional to 36,947.25, 50,987.21 and 20,180.25

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Solution

The fourth proportional to 36,947.25, 50,987.21 and 20,180.25 is: 27,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947.25 : 50,987.21 = 20,180.25 : x
  2. Step 2: Convert to fraction form
    36,947.25/50,987.21 = 20,180.25/x
  3. Step 3: Cross multiply
    36,947.25x = 50,987.21 × 20,180.25
  4. Step 4: Simplify right side
    36,947.25x = 1,028,934,543.70
  5. Step 5: Solve for x
    x = 1,028,934,543.70/36,947.25
  6. Step 6: Final answer
    x = 27,848.75

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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.