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Finding the Fourth Proportional to 31,196.50, 43,051.12 and 17,049.33

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Solution

The fourth proportional to 31,196.50, 43,051.12 and 17,049.33 is: 23,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.50 : 43,051.12 = 17,049.33 : x
  2. Step 2: Convert to fraction form
    31,196.50/43,051.12 = 17,049.33/x
  3. Step 3: Cross multiply
    31,196.50x = 43,051.12 × 17,049.33
  4. Step 4: Simplify right side
    31,196.50x = 733,992,709.13
  5. Step 5: Solve for x
    x = 733,992,709.13/31,196.50
  6. Step 6: Final answer
    x = 23,528.05

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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.