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Finding the Fourth Proportional to 34,221.56, 47,212.50 and 20,069.24

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Solution

The fourth proportional to 34,221.56, 47,212.50 and 20,069.24 is: 27,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,221.56 : 47,212.50 = 20,069.24 : x
  2. Step 2: Convert to fraction form
    34,221.56/47,212.50 = 20,069.24/x
  3. Step 3: Cross multiply
    34,221.56x = 47,212.50 × 20,069.24
  4. Step 4: Simplify right side
    34,221.56x = 947,518,993.50
  5. Step 5: Solve for x
    x = 947,518,993.50/34,221.56
  6. Step 6: Final answer
    x = 27,687.78

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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.