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Finding the Fourth Proportional to 31,589, 43,601.52 and 19,645.24

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Solution

The fourth proportional to 31,589, 43,601.52 and 19,645.24 is: 27,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589 : 43,601.52 = 19,645.24 : x
  2. Step 2: Convert to fraction form
    31,589/43,601.52 = 19,645.24/x
  3. Step 3: Cross multiply
    31,589x = 43,601.52 × 19,645.24
  4. Step 4: Simplify right side
    31,589x = 856,562,324.76
  5. Step 5: Solve for x
    x = 856,562,324.76/31,589
  6. Step 6: Final answer
    x = 27,115.84

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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.