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Finding the Fourth Proportional to 55,224.32, 82,861.11 and 28,922.94

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Solution

The fourth proportional to 55,224.32, 82,861.11 and 28,922.94 is: 43,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,224.32 : 82,861.11 = 28,922.94 : x
  2. Step 2: Convert to fraction form
    55,224.32/82,861.11 = 28,922.94/x
  3. Step 3: Cross multiply
    55,224.32x = 82,861.11 × 28,922.94
  4. Step 4: Simplify right side
    55,224.32x = 2,396,586,912.86
  5. Step 5: Solve for x
    x = 2,396,586,912.86/55,224.32
  6. Step 6: Final answer
    x = 43,397.31

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Why These Related Problems?

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