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Finding the Fourth Proportional to 34,255.80, 47,268 and 20,113.20

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Solution

The fourth proportional to 34,255.80, 47,268 and 20,113.20 is: 27,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,255.80 : 47,268 = 20,113.20 : x
  2. Step 2: Convert to fraction form
    34,255.80/47,268 = 20,113.20/x
  3. Step 3: Cross multiply
    34,255.80x = 47,268 × 20,113.20
  4. Step 4: Simplify right side
    34,255.80x = 950,710,737.60
  5. Step 5: Solve for x
    x = 950,710,737.60/34,255.80
  6. Step 6: Final answer
    x = 27,753.28

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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.