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Finding the Fourth Proportional to 31,792.44, 47,689.56 and 8,418.90

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Solution

The fourth proportional to 31,792.44, 47,689.56 and 8,418.90 is: 12,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.44 : 47,689.56 = 8,418.90 : x
  2. Step 2: Convert to fraction form
    31,792.44/47,689.56 = 8,418.90/x
  3. Step 3: Cross multiply
    31,792.44x = 47,689.56 × 8,418.90
  4. Step 4: Simplify right side
    31,792.44x = 401,493,636.68
  5. Step 5: Solve for x
    x = 401,493,636.68/31,792.44
  6. Step 6: Final answer
    x = 12,628.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.