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Finding the Fourth Proportional to 33,728.81, 50,605.97 and 14,005.71

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Solution

The fourth proportional to 33,728.81, 50,605.97 and 14,005.71 is: 21,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728.81 : 50,605.97 = 14,005.71 : x
  2. Step 2: Convert to fraction form
    33,728.81/50,605.97 = 14,005.71/x
  3. Step 3: Cross multiply
    33,728.81x = 50,605.97 × 14,005.71
  4. Step 4: Simplify right side
    33,728.81x = 708,772,470.06
  5. Step 5: Solve for x
    x = 708,772,470.06/33,728.81
  6. Step 6: Final answer
    x = 21,013.86

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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.