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Finding the Fourth Proportional to 31,517.58, 43,494.12 and 17,178.24

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Solution

The fourth proportional to 31,517.58, 43,494.12 and 17,178.24 is: 23,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.58 : 43,494.12 = 17,178.24 : x
  2. Step 2: Convert to fraction form
    31,517.58/43,494.12 = 17,178.24/x
  3. Step 3: Cross multiply
    31,517.58x = 43,494.12 × 17,178.24
  4. Step 4: Simplify right side
    31,517.58x = 747,152,431.95
  5. Step 5: Solve for x
    x = 747,152,431.95/31,517.58
  6. Step 6: Final answer
    x = 23,705.89

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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.