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Finding the Fourth Proportional to 31,902.26, 47,855.34 and 9,717.17

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Solution

The fourth proportional to 31,902.26, 47,855.34 and 9,717.17 is: 14,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.26 : 47,855.34 = 9,717.17 : x
  2. Step 2: Convert to fraction form
    31,902.26/47,855.34 = 9,717.17/x
  3. Step 3: Cross multiply
    31,902.26x = 47,855.34 × 9,717.17
  4. Step 4: Simplify right side
    31,902.26x = 465,018,234.91
  5. Step 5: Solve for x
    x = 465,018,234.91/31,902.26
  6. Step 6: Final answer
    x = 14,576.34

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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.