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Finding the Fourth Proportional to 31,920.48, 44,049.96 and 17,772.48

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Solution

The fourth proportional to 31,920.48, 44,049.96 and 17,772.48 is: 24,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.48 : 44,049.96 = 17,772.48 : x
  2. Step 2: Convert to fraction form
    31,920.48/44,049.96 = 17,772.48/x
  3. Step 3: Cross multiply
    31,920.48x = 44,049.96 × 17,772.48
  4. Step 4: Simplify right side
    31,920.48x = 782,877,033.10
  5. Step 5: Solve for x
    x = 782,877,033.10/31,920.48
  6. Step 6: Final answer
    x = 24,525.85

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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.