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Finding the Fourth Proportional to 31,170.31, 43,014.71 and 17,023.15

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Solution

The fourth proportional to 31,170.31, 43,014.71 and 17,023.15 is: 23,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.31 : 43,014.71 = 17,023.15 : x
  2. Step 2: Convert to fraction form
    31,170.31/43,014.71 = 17,023.15/x
  3. Step 3: Cross multiply
    31,170.31x = 43,014.71 × 17,023.15
  4. Step 4: Simplify right side
    31,170.31x = 732,245,860.54
  5. Step 5: Solve for x
    x = 732,245,860.54/31,170.31
  6. Step 6: Final answer
    x = 23,491.77

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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.