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Finding the Fourth Proportional to 33,642.66, 50,464.38 and 14,405.82

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Solution

The fourth proportional to 33,642.66, 50,464.38 and 14,405.82 is: 21,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.66 : 50,464.38 = 14,405.82 : x
  2. Step 2: Convert to fraction form
    33,642.66/50,464.38 = 14,405.82/x
  3. Step 3: Cross multiply
    33,642.66x = 50,464.38 × 14,405.82
  4. Step 4: Simplify right side
    33,642.66x = 726,980,774.69
  5. Step 5: Solve for x
    x = 726,980,774.69/33,642.66
  6. Step 6: Final answer
    x = 21,608.90

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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.