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Finding the Fourth Proportional to 35,644.09, 49,189.62 and 19,729.63

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Solution

The fourth proportional to 35,644.09, 49,189.62 and 19,729.63 is: 27,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.09 : 49,189.62 = 19,729.63 : x
  2. Step 2: Convert to fraction form
    35,644.09/49,189.62 = 19,729.63/x
  3. Step 3: Cross multiply
    35,644.09x = 49,189.62 × 19,729.63
  4. Step 4: Simplify right side
    35,644.09x = 970,493,002.44
  5. Step 5: Solve for x
    x = 970,493,002.44/35,644.09
  6. Step 6: Final answer
    x = 27,227.32

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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.