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Finding the Fourth Proportional to 31,733.78, 43,791.03 and 17,586.32

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Solution

The fourth proportional to 31,733.78, 43,791.03 and 17,586.32 is: 24,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,733.78 : 43,791.03 = 17,586.32 : x
  2. Step 2: Convert to fraction form
    31,733.78/43,791.03 = 17,586.32/x
  3. Step 3: Cross multiply
    31,733.78x = 43,791.03 × 17,586.32
  4. Step 4: Simplify right side
    31,733.78x = 770,122,847.75
  5. Step 5: Solve for x
    x = 770,122,847.75/31,733.78
  6. Step 6: Final answer
    x = 24,268.24

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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.