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Finding the Fourth Proportional to 33,171, 49,758.93 and 10,983.89

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Solution

The fourth proportional to 33,171, 49,758.93 and 10,983.89 is: 16,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,171 : 49,758.93 = 10,983.89 : x
  2. Step 2: Convert to fraction form
    33,171/49,758.93 = 10,983.89/x
  3. Step 3: Cross multiply
    33,171x = 49,758.93 × 10,983.89
  4. Step 4: Simplify right side
    33,171x = 546,546,364.84
  5. Step 5: Solve for x
    x = 546,546,364.84/33,171
  6. Step 6: Final answer
    x = 16,476.63

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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.