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Finding the Fourth Proportional to 33,653.14, 50,457.82 and 13,911.82

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Solution

The fourth proportional to 33,653.14, 50,457.82 and 13,911.82 is: 20,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,653.14 : 50,457.82 = 13,911.82 : x
  2. Step 2: Convert to fraction form
    33,653.14/50,457.82 = 13,911.82/x
  3. Step 3: Cross multiply
    33,653.14x = 50,457.82 × 13,911.82
  4. Step 4: Simplify right side
    33,653.14x = 701,960,109.43
  5. Step 5: Solve for x
    x = 701,960,109.43/33,653.14
  6. Step 6: Final answer
    x = 20,858.68

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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.