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Finding the Fourth Proportional to 33,648, 50,433.72 and 20,471.32

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Solution

The fourth proportional to 33,648, 50,433.72 and 20,471.32 is: 30,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648 : 50,433.72 = 20,471.32 : x
  2. Step 2: Convert to fraction form
    33,648/50,433.72 = 20,471.32/x
  3. Step 3: Cross multiply
    33,648x = 50,433.72 × 20,471.32
  4. Step 4: Simplify right side
    33,648x = 1,032,444,820.91
  5. Step 5: Solve for x
    x = 1,032,444,820.91/33,648
  6. Step 6: Final answer
    x = 30,683.69

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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.