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Finding the Fourth Proportional to 37,817.44, 52,190.64 and 21,906.40

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Solution

The fourth proportional to 37,817.44, 52,190.64 and 21,906.40 is: 30,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,817.44 : 52,190.64 = 21,906.40 : x
  2. Step 2: Convert to fraction form
    37,817.44/52,190.64 = 21,906.40/x
  3. Step 3: Cross multiply
    37,817.44x = 52,190.64 × 21,906.40
  4. Step 4: Simplify right side
    37,817.44x = 1,143,309,036.10
  5. Step 5: Solve for x
    x = 1,143,309,036.10/37,817.44
  6. Step 6: Final answer
    x = 30,232.32

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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.