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Finding the Fourth Proportional to 34,195.14, 47,197.16 and 20,052.54

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Solution

The fourth proportional to 34,195.14, 47,197.16 and 20,052.54 is: 27,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195.14 : 47,197.16 = 20,052.54 : x
  2. Step 2: Convert to fraction form
    34,195.14/47,197.16 = 20,052.54/x
  3. Step 3: Cross multiply
    34,195.14x = 47,197.16 × 20,052.54
  4. Step 4: Simplify right side
    34,195.14x = 946,422,602.54
  5. Step 5: Solve for x
    x = 946,422,602.54/34,195.14
  6. Step 6: Final answer
    x = 27,677.11

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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.