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Finding the Fourth Proportional to 31,450, 47,175 and 9,562

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Solution

The fourth proportional to 31,450, 47,175 and 9,562 is: 14,343

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450 : 47,175 = 9,562 : x
  2. Step 2: Convert to fraction form
    31,450/47,175 = 9,562/x
  3. Step 3: Cross multiply
    31,450x = 47,175 × 9,562
  4. Step 4: Simplify right side
    31,450x = 451,087,350
  5. Step 5: Solve for x
    x = 451,087,350/31,450
  6. Step 6: Final answer
    x = 14,343

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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.