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Finding the Fourth Proportional to 36,842.24, 50,843.28 and 20,076.32

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Solution

The fourth proportional to 36,842.24, 50,843.28 and 20,076.32 is: 27,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842.24 : 50,843.28 = 20,076.32 : x
  2. Step 2: Convert to fraction form
    36,842.24/50,843.28 = 20,076.32/x
  3. Step 3: Cross multiply
    36,842.24x = 50,843.28 × 20,076.32
  4. Step 4: Simplify right side
    36,842.24x = 1,020,745,959.13
  5. Step 5: Solve for x
    x = 1,020,745,959.13/36,842.24
  6. Step 6: Final answer
    x = 27,705.86

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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.