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Finding the Fourth Proportional to 31,500.51, 43,471.20 and 17,161.02

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Solution

The fourth proportional to 31,500.51, 43,471.20 and 17,161.02 is: 23,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.51 : 43,471.20 = 17,161.02 : x
  2. Step 2: Convert to fraction form
    31,500.51/43,471.20 = 17,161.02/x
  3. Step 3: Cross multiply
    31,500.51x = 43,471.20 × 17,161.02
  4. Step 4: Simplify right side
    31,500.51x = 746,010,132.62
  5. Step 5: Solve for x
    x = 746,010,132.62/31,500.51
  6. Step 6: Final answer
    x = 23,682.48

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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.