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Finding the Fourth Proportional to 34,202.80, 47,180.90 and 20,052.92

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Solution

The fourth proportional to 34,202.80, 47,180.90 and 20,052.92 is: 27,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,202.80 : 47,180.90 = 20,052.92 : x
  2. Step 2: Convert to fraction form
    34,202.80/47,180.90 = 20,052.92/x
  3. Step 3: Cross multiply
    34,202.80x = 47,180.90 × 20,052.92
  4. Step 4: Simplify right side
    34,202.80x = 946,114,813.23
  5. Step 5: Solve for x
    x = 946,114,813.23/34,202.80
  6. Step 6: Final answer
    x = 27,661.91

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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.