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Finding the Fourth Proportional to 31,571.69, 43,568.91 and 17,424.54

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Solution

The fourth proportional to 31,571.69, 43,568.91 and 17,424.54 is: 24,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,571.69 : 43,568.91 = 17,424.54 : x
  2. Step 2: Convert to fraction form
    31,571.69/43,568.91 = 17,424.54/x
  3. Step 3: Cross multiply
    31,571.69x = 43,568.91 × 17,424.54
  4. Step 4: Simplify right side
    31,571.69x = 759,168,215.05
  5. Step 5: Solve for x
    x = 759,168,215.05/31,571.69
  6. Step 6: Final answer
    x = 24,045.86

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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.