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Finding the Fourth Proportional to 33,083.25, 49,596.97 and 14,349.17

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Solution

The fourth proportional to 33,083.25, 49,596.97 and 14,349.17 is: 21,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.25 : 49,596.97 = 14,349.17 : x
  2. Step 2: Convert to fraction form
    33,083.25/49,596.97 = 14,349.17/x
  3. Step 3: Cross multiply
    33,083.25x = 49,596.97 × 14,349.17
  4. Step 4: Simplify right side
    33,083.25x = 711,675,354.01
  5. Step 5: Solve for x
    x = 711,675,354.01/33,083.25
  6. Step 6: Final answer
    x = 21,511.66

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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.