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Finding the Fourth Proportional to 34,194.63, 47,196.47 and 20,052.03

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Solution

The fourth proportional to 34,194.63, 47,196.47 and 20,052.03 is: 27,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194.63 : 47,196.47 = 20,052.03 : x
  2. Step 2: Convert to fraction form
    34,194.63/47,196.47 = 20,052.03/x
  3. Step 3: Cross multiply
    34,194.63x = 47,196.47 × 20,052.03
  4. Step 4: Simplify right side
    34,194.63x = 946,385,050.07
  5. Step 5: Solve for x
    x = 946,385,050.07/34,194.63
  6. Step 6: Final answer
    x = 27,676.42

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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.