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Finding the Fourth Proportional to 47,933.44, 71,856 and 20,216.32

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Solution

The fourth proportional to 47,933.44, 71,856 and 20,216.32 is: 30,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,933.44 : 71,856 = 20,216.32 : x
  2. Step 2: Convert to fraction form
    47,933.44/71,856 = 20,216.32/x
  3. Step 3: Cross multiply
    47,933.44x = 71,856 × 20,216.32
  4. Step 4: Simplify right side
    47,933.44x = 1,452,663,889.92
  5. Step 5: Solve for x
    x = 1,452,663,889.92/47,933.44
  6. Step 6: Final answer
    x = 30,305.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.