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Finding the Fourth Proportional to 33,642.85, 50,464.67 and 14,406.01

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Solution

The fourth proportional to 33,642.85, 50,464.67 and 14,406.01 is: 21,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.85 : 50,464.67 = 14,406.01 : x
  2. Step 2: Convert to fraction form
    33,642.85/50,464.67 = 14,406.01/x
  3. Step 3: Cross multiply
    33,642.85x = 50,464.67 × 14,406.01
  4. Step 4: Simplify right side
    33,642.85x = 726,994,468.64
  5. Step 5: Solve for x
    x = 726,994,468.64/33,642.85
  6. Step 6: Final answer
    x = 21,609.18

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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.