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Finding the Fourth Proportional to 31,753.60, 43,819.20 and 17,606.56

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Solution

The fourth proportional to 31,753.60, 43,819.20 and 17,606.56 is: 24,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.60 : 43,819.20 = 17,606.56 : x
  2. Step 2: Convert to fraction form
    31,753.60/43,819.20 = 17,606.56/x
  3. Step 3: Cross multiply
    31,753.60x = 43,819.20 × 17,606.56
  4. Step 4: Simplify right side
    31,753.60x = 771,505,373.95
  5. Step 5: Solve for x
    x = 771,505,373.95/31,753.60
  6. Step 6: Final answer
    x = 24,296.63

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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.