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Finding the Fourth Proportional to 34,194.89, 47,196.81 and 20,052.29

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Solution

The fourth proportional to 34,194.89, 47,196.81 and 20,052.29 is: 27,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194.89 : 47,196.81 = 20,052.29 : x
  2. Step 2: Convert to fraction form
    34,194.89/47,196.81 = 20,052.29/x
  3. Step 3: Cross multiply
    34,194.89x = 47,196.81 × 20,052.29
  4. Step 4: Simplify right side
    34,194.89x = 946,404,121.19
  5. Step 5: Solve for x
    x = 946,404,121.19/34,194.89
  6. Step 6: Final answer
    x = 27,676.77

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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.