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Finding the Fourth Proportional to 31,196.25, 43,050.96 and 17,049.06

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Solution

The fourth proportional to 31,196.25, 43,050.96 and 17,049.06 is: 23,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.25 : 43,050.96 = 17,049.06 : x
  2. Step 2: Convert to fraction form
    31,196.25/43,050.96 = 17,049.06/x
  3. Step 3: Cross multiply
    31,196.25x = 43,050.96 × 17,049.06
  4. Step 4: Simplify right side
    31,196.25x = 733,978,400.10
  5. Step 5: Solve for x
    x = 733,978,400.10/31,196.25
  6. Step 6: Final answer
    x = 23,527.78

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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.