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Finding the Fourth Proportional to 31,657.30, 43,691.81 and 19,724.49

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Solution

The fourth proportional to 31,657.30, 43,691.81 and 19,724.49 is: 27,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.30 : 43,691.81 = 19,724.49 : x
  2. Step 2: Convert to fraction form
    31,657.30/43,691.81 = 19,724.49/x
  3. Step 3: Cross multiply
    31,657.30x = 43,691.81 × 19,724.49
  4. Step 4: Simplify right side
    31,657.30x = 861,798,669.43
  5. Step 5: Solve for x
    x = 861,798,669.43/31,657.30
  6. Step 6: Final answer
    x = 27,222.75

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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.