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Finding the Fourth Proportional to 36,161, 49,907.16 and 21,821.56

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Solution

The fourth proportional to 36,161, 49,907.16 and 21,821.56 is: 30,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,161 : 49,907.16 = 21,821.56 : x
  2. Step 2: Convert to fraction form
    36,161/49,907.16 = 21,821.56/x
  3. Step 3: Cross multiply
    36,161x = 49,907.16 × 21,821.56
  4. Step 4: Simplify right side
    36,161x = 1,089,052,086.37
  5. Step 5: Solve for x
    x = 1,089,052,086.37/36,161
  6. Step 6: Final answer
    x = 30,116.76

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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.