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Finding the Fourth Proportional to 31,670.40, 43,705.84 and 17,524.24

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Solution

The fourth proportional to 31,670.40, 43,705.84 and 17,524.24 is: 24,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670.40 : 43,705.84 = 17,524.24 : x
  2. Step 2: Convert to fraction form
    31,670.40/43,705.84 = 17,524.24/x
  3. Step 3: Cross multiply
    31,670.40x = 43,705.84 × 17,524.24
  4. Step 4: Simplify right side
    31,670.40x = 765,911,629.56
  5. Step 5: Solve for x
    x = 765,911,629.56/31,670.40
  6. Step 6: Final answer
    x = 24,183.83

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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.