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Finding the Fourth Proportional to 37,644.76, 51,942.90 and 21,723.40

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Solution

The fourth proportional to 37,644.76, 51,942.90 and 21,723.40 is: 29,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.76 : 51,942.90 = 21,723.40 : x
  2. Step 2: Convert to fraction form
    37,644.76/51,942.90 = 21,723.40/x
  3. Step 3: Cross multiply
    37,644.76x = 51,942.90 × 21,723.40
  4. Step 4: Simplify right side
    37,644.76x = 1,128,376,393.86
  5. Step 5: Solve for x
    x = 1,128,376,393.86/37,644.76
  6. Step 6: Final answer
    x = 29,974.33

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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.