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Finding the Fourth Proportional to 37,761.36, 52,112.16 and 20,994

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Solution

The fourth proportional to 37,761.36, 52,112.16 and 20,994 is: 28,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761.36 : 52,112.16 = 20,994 : x
  2. Step 2: Convert to fraction form
    37,761.36/52,112.16 = 20,994/x
  3. Step 3: Cross multiply
    37,761.36x = 52,112.16 × 20,994
  4. Step 4: Simplify right side
    37,761.36x = 1,094,042,687.04
  5. Step 5: Solve for x
    x = 1,094,042,687.04/37,761.36
  6. Step 6: Final answer
    x = 28,972.54

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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.