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Finding the Fourth Proportional to 33,102.51, 49,638.15 and 12,027.69

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Solution

The fourth proportional to 33,102.51, 49,638.15 and 12,027.69 is: 18,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.51 : 49,638.15 = 12,027.69 : x
  2. Step 2: Convert to fraction form
    33,102.51/49,638.15 = 12,027.69/x
  3. Step 3: Cross multiply
    33,102.51x = 49,638.15 × 12,027.69
  4. Step 4: Simplify right side
    33,102.51x = 597,032,310.44
  5. Step 5: Solve for x
    x = 597,032,310.44/33,102.51
  6. Step 6: Final answer
    x = 18,035.86

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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.