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Finding the Fourth Proportional to 35,642.31, 49,185.87 and 19,726.43

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Solution

The fourth proportional to 35,642.31, 49,185.87 and 19,726.43 is: 27,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.31 : 49,185.87 = 19,726.43 : x
  2. Step 2: Convert to fraction form
    35,642.31/49,185.87 = 19,726.43/x
  3. Step 3: Cross multiply
    35,642.31x = 49,185.87 × 19,726.43
  4. Step 4: Simplify right side
    35,642.31x = 970,261,375.61
  5. Step 5: Solve for x
    x = 970,261,375.61/35,642.31
  6. Step 6: Final answer
    x = 27,222.18

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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.