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Finding the Fourth Proportional to 31,383.78, 47,083.05 and 9,196.62

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Solution

The fourth proportional to 31,383.78, 47,083.05 and 9,196.62 is: 13,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.78 : 47,083.05 = 9,196.62 : x
  2. Step 2: Convert to fraction form
    31,383.78/47,083.05 = 9,196.62/x
  3. Step 3: Cross multiply
    31,383.78x = 47,083.05 × 9,196.62
  4. Step 4: Simplify right side
    31,383.78x = 433,004,919.29
  5. Step 5: Solve for x
    x = 433,004,919.29/31,383.78
  6. Step 6: Final answer
    x = 13,797.09

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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.