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Finding the Fourth Proportional to 34,219.56, 47,209.74 and 20,067.24

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Solution

The fourth proportional to 34,219.56, 47,209.74 and 20,067.24 is: 27,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219.56 : 47,209.74 = 20,067.24 : x
  2. Step 2: Convert to fraction form
    34,219.56/47,209.74 = 20,067.24/x
  3. Step 3: Cross multiply
    34,219.56x = 47,209.74 × 20,067.24
  4. Step 4: Simplify right side
    34,219.56x = 947,369,182.92
  5. Step 5: Solve for x
    x = 947,369,182.92/34,219.56
  6. Step 6: Final answer
    x = 27,685.02

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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.