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Finding the Fourth Proportional to 31,586.42, 43,589.94 and 17,440.16

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Solution

The fourth proportional to 31,586.42, 43,589.94 and 17,440.16 is: 24,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.42 : 43,589.94 = 17,440.16 : x
  2. Step 2: Convert to fraction form
    31,586.42/43,589.94 = 17,440.16/x
  3. Step 3: Cross multiply
    31,586.42x = 43,589.94 × 17,440.16
  4. Step 4: Simplify right side
    31,586.42x = 760,215,527.99
  5. Step 5: Solve for x
    x = 760,215,527.99/31,586.42
  6. Step 6: Final answer
    x = 24,067.80

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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.