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Finding the Fourth Proportional to 54,893.32, 82,450.20 and 32,749.90

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Solution

The fourth proportional to 54,893.32, 82,450.20 and 32,749.90 is: 49,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.32 : 82,450.20 = 32,749.90 : x
  2. Step 2: Convert to fraction form
    54,893.32/82,450.20 = 32,749.90/x
  3. Step 3: Cross multiply
    54,893.32x = 82,450.20 × 32,749.90
  4. Step 4: Simplify right side
    54,893.32x = 2,700,235,804.98
  5. Step 5: Solve for x
    x = 2,700,235,804.98/54,893.32
  6. Step 6: Final answer
    x = 49,190.61

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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.