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Finding the Fourth Proportional to 31,734.51, 43,792.02 and 17,589.48

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Solution

The fourth proportional to 31,734.51, 43,792.02 and 17,589.48 is: 24,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,734.51 : 43,792.02 = 17,589.48 : x
  2. Step 2: Convert to fraction form
    31,734.51/43,792.02 = 17,589.48/x
  3. Step 3: Cross multiply
    31,734.51x = 43,792.02 × 17,589.48
  4. Step 4: Simplify right side
    31,734.51x = 770,278,859.95
  5. Step 5: Solve for x
    x = 770,278,859.95/31,734.51
  6. Step 6: Final answer
    x = 24,272.59

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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.