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Finding the Fourth Proportional to 37,662.42, 51,972.23 and 22,563.46

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Solution

The fourth proportional to 37,662.42, 51,972.23 and 22,563.46 is: 31,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,662.42 : 51,972.23 = 22,563.46 : x
  2. Step 2: Convert to fraction form
    37,662.42/51,972.23 = 22,563.46/x
  3. Step 3: Cross multiply
    37,662.42x = 51,972.23 × 22,563.46
  4. Step 4: Simplify right side
    37,662.42x = 1,172,673,454.09
  5. Step 5: Solve for x
    x = 1,172,673,454.09/37,662.42
  6. Step 6: Final answer
    x = 31,136.44

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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.