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Finding the Fourth Proportional to 33,114.87, 49,644.36 and 14,380.74

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Solution

The fourth proportional to 33,114.87, 49,644.36 and 14,380.74 is: 21,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.87 : 49,644.36 = 14,380.74 : x
  2. Step 2: Convert to fraction form
    33,114.87/49,644.36 = 14,380.74/x
  3. Step 3: Cross multiply
    33,114.87x = 49,644.36 × 14,380.74
  4. Step 4: Simplify right side
    33,114.87x = 713,922,633.63
  5. Step 5: Solve for x
    x = 713,922,633.63/33,114.87
  6. Step 6: Final answer
    x = 21,558.97

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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.