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Finding the Fourth Proportional to 31,748.56, 43,814.56 and 17,601.44

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Solution

The fourth proportional to 31,748.56, 43,814.56 and 17,601.44 is: 24,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,748.56 : 43,814.56 = 17,601.44 : x
  2. Step 2: Convert to fraction form
    31,748.56/43,814.56 = 17,601.44/x
  3. Step 3: Cross multiply
    31,748.56x = 43,814.56 × 17,601.44
  4. Step 4: Simplify right side
    31,748.56x = 771,199,348.97
  5. Step 5: Solve for x
    x = 771,199,348.97/31,748.56
  6. Step 6: Final answer
    x = 24,290.84

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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.