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Finding the Fourth Proportional to 51,550.96, 71,114.52 and 32,658.16

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Solution

The fourth proportional to 51,550.96, 71,114.52 and 32,658.16 is: 45,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,550.96 : 71,114.52 = 32,658.16 : x
  2. Step 2: Convert to fraction form
    51,550.96/71,114.52 = 32,658.16/x
  3. Step 3: Cross multiply
    51,550.96x = 71,114.52 × 32,658.16
  4. Step 4: Simplify right side
    51,550.96x = 2,322,469,372.48
  5. Step 5: Solve for x
    x = 2,322,469,372.48/51,550.96
  6. Step 6: Final answer
    x = 45,051.91

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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.