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Finding the Fourth Proportional to 33,855.57, 50,789.25 and 14,148

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Solution

The fourth proportional to 33,855.57, 50,789.25 and 14,148 is: 21,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,855.57 : 50,789.25 = 14,148 : x
  2. Step 2: Convert to fraction form
    33,855.57/50,789.25 = 14,148/x
  3. Step 3: Cross multiply
    33,855.57x = 50,789.25 × 14,148
  4. Step 4: Simplify right side
    33,855.57x = 718,566,309
  5. Step 5: Solve for x
    x = 718,566,309/33,855.57
  6. Step 6: Final answer
    x = 21,224.46

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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.