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Finding the Fourth Proportional to 31,450.52, 47,168.22 and 9,257.87

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Solution

The fourth proportional to 31,450.52, 47,168.22 and 9,257.87 is: 13,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450.52 : 47,168.22 = 9,257.87 : x
  2. Step 2: Convert to fraction form
    31,450.52/47,168.22 = 9,257.87/x
  3. Step 3: Cross multiply
    31,450.52x = 47,168.22 × 9,257.87
  4. Step 4: Simplify right side
    31,450.52x = 436,677,248.89
  5. Step 5: Solve for x
    x = 436,677,248.89/31,450.52
  6. Step 6: Final answer
    x = 13,884.58

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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.