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Finding the Fourth Proportional to 33,102.72, 49,638.45 and 12,028.08

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Solution

The fourth proportional to 33,102.72, 49,638.45 and 12,028.08 is: 18,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.72 : 49,638.45 = 12,028.08 : x
  2. Step 2: Convert to fraction form
    33,102.72/49,638.45 = 12,028.08/x
  3. Step 3: Cross multiply
    33,102.72x = 49,638.45 × 12,028.08
  4. Step 4: Simplify right side
    33,102.72x = 597,055,247.68
  5. Step 5: Solve for x
    x = 597,055,247.68/33,102.72
  6. Step 6: Final answer
    x = 18,036.44

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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.