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Finding the Fourth Proportional to 36,027.90, 49,713.36 and 20,112

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Solution

The fourth proportional to 36,027.90, 49,713.36 and 20,112 is: 27,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027.90 : 49,713.36 = 20,112 : x
  2. Step 2: Convert to fraction form
    36,027.90/49,713.36 = 20,112/x
  3. Step 3: Cross multiply
    36,027.90x = 49,713.36 × 20,112
  4. Step 4: Simplify right side
    36,027.90x = 999,835,096.32
  5. Step 5: Solve for x
    x = 999,835,096.32/36,027.90
  6. Step 6: Final answer
    x = 27,751.69

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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.