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Finding the Fourth Proportional to 31,196.57, 43,051.16 and 17,049.41

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Solution

The fourth proportional to 31,196.57, 43,051.16 and 17,049.41 is: 23,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.57 : 43,051.16 = 17,049.41 : x
  2. Step 2: Convert to fraction form
    31,196.57/43,051.16 = 17,049.41/x
  3. Step 3: Cross multiply
    31,196.57x = 43,051.16 × 17,049.41
  4. Step 4: Simplify right side
    31,196.57x = 733,996,920.44
  5. Step 5: Solve for x
    x = 733,996,920.44/31,196.57
  6. Step 6: Final answer
    x = 23,528.13

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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.