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Finding the Fourth Proportional to 31,555.70, 43,546.83 and 17,408.54

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Solution

The fourth proportional to 31,555.70, 43,546.83 and 17,408.54 is: 24,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,555.70 : 43,546.83 = 17,408.54 : x
  2. Step 2: Convert to fraction form
    31,555.70/43,546.83 = 17,408.54/x
  3. Step 3: Cross multiply
    31,555.70x = 43,546.83 × 17,408.54
  4. Step 4: Simplify right side
    31,555.70x = 758,086,731.93
  5. Step 5: Solve for x
    x = 758,086,731.93/31,555.70
  6. Step 6: Final answer
    x = 24,023.77

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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.