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Finding the Fourth Proportional to 33,064.90, 49,602.21 and 10,874.14

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Solution

The fourth proportional to 33,064.90, 49,602.21 and 10,874.14 is: 16,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064.90 : 49,602.21 = 10,874.14 : x
  2. Step 2: Convert to fraction form
    33,064.90/49,602.21 = 10,874.14/x
  3. Step 3: Cross multiply
    33,064.90x = 49,602.21 × 10,874.14
  4. Step 4: Simplify right side
    33,064.90x = 539,381,375.85
  5. Step 5: Solve for x
    x = 539,381,375.85/33,064.90
  6. Step 6: Final answer
    x = 16,312.81

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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.