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Finding the Fourth Proportional to 31,589.82, 43,593.84 and 17,442.59

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Solution

The fourth proportional to 31,589.82, 43,593.84 and 17,442.59 is: 24,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.82 : 43,593.84 = 17,442.59 : x
  2. Step 2: Convert to fraction form
    31,589.82/43,593.84 = 17,442.59/x
  3. Step 3: Cross multiply
    31,589.82x = 43,593.84 × 17,442.59
  4. Step 4: Simplify right side
    31,589.82x = 760,389,259.68
  5. Step 5: Solve for x
    x = 760,389,259.68/31,589.82
  6. Step 6: Final answer
    x = 24,070.71

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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.