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Finding the Fourth Proportional to 31,205.67, 43,061.31 and 17,774.25

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Solution

The fourth proportional to 31,205.67, 43,061.31 and 17,774.25 is: 24,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.67 : 43,061.31 = 17,774.25 : x
  2. Step 2: Convert to fraction form
    31,205.67/43,061.31 = 17,774.25/x
  3. Step 3: Cross multiply
    31,205.67x = 43,061.31 × 17,774.25
  4. Step 4: Simplify right side
    31,205.67x = 765,382,489.27
  5. Step 5: Solve for x
    x = 765,382,489.27/31,205.67
  6. Step 6: Final answer
    x = 24,527.03

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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.