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Finding the Fourth Proportional to 31,481.30, 47,167.44 and 22,103.51

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Solution

The fourth proportional to 31,481.30, 47,167.44 and 22,103.51 is: 33,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.30 : 47,167.44 = 22,103.51 : x
  2. Step 2: Convert to fraction form
    31,481.30/47,167.44 = 22,103.51/x
  3. Step 3: Cross multiply
    31,481.30x = 47,167.44 × 22,103.51
  4. Step 4: Simplify right side
    31,481.30x = 1,042,565,981.71
  5. Step 5: Solve for x
    x = 1,042,565,981.71/31,481.30
  6. Step 6: Final answer
    x = 33,116.99

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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.