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Finding the Fourth Proportional to 31,214.84, 43,076.43 and 17,067.65

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Solution

The fourth proportional to 31,214.84, 43,076.43 and 17,067.65 is: 23,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.84 : 43,076.43 = 17,067.65 : x
  2. Step 2: Convert to fraction form
    31,214.84/43,076.43 = 17,067.65/x
  3. Step 3: Cross multiply
    31,214.84x = 43,076.43 × 17,067.65
  4. Step 4: Simplify right side
    31,214.84x = 735,213,215.11
  5. Step 5: Solve for x
    x = 735,213,215.11/31,214.84
  6. Step 6: Final answer
    x = 23,553.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.