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Finding the Fourth Proportional to 34,194.69, 47,196.55 and 20,052.09

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Solution

The fourth proportional to 34,194.69, 47,196.55 and 20,052.09 is: 27,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194.69 : 47,196.55 = 20,052.09 : x
  2. Step 2: Convert to fraction form
    34,194.69/47,196.55 = 20,052.09/x
  3. Step 3: Cross multiply
    34,194.69x = 47,196.55 × 20,052.09
  4. Step 4: Simplify right side
    34,194.69x = 946,389,468.29
  5. Step 5: Solve for x
    x = 946,389,468.29/34,194.69
  6. Step 6: Final answer
    x = 27,676.50

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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.