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Finding the Fourth Proportional to 31,896.80, 47,837.92 and 9,401.68

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Solution

The fourth proportional to 31,896.80, 47,837.92 and 9,401.68 is: 14,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.80 : 47,837.92 = 9,401.68 : x
  2. Step 2: Convert to fraction form
    31,896.80/47,837.92 = 9,401.68/x
  3. Step 3: Cross multiply
    31,896.80x = 47,837.92 × 9,401.68
  4. Step 4: Simplify right side
    31,896.80x = 449,756,815.71
  5. Step 5: Solve for x
    x = 449,756,815.71/31,896.80
  6. Step 6: Final answer
    x = 14,100.37

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Why These Related Problems?

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