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Finding the Fourth Proportional to 33,069.42, 49,588.47 and 12,815.66

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Solution

The fourth proportional to 33,069.42, 49,588.47 and 12,815.66 is: 19,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,069.42 : 49,588.47 = 12,815.66 : x
  2. Step 2: Convert to fraction form
    33,069.42/49,588.47 = 12,815.66/x
  3. Step 3: Cross multiply
    33,069.42x = 49,588.47 × 12,815.66
  4. Step 4: Simplify right side
    33,069.42x = 635,508,723.50
  5. Step 5: Solve for x
    x = 635,508,723.50/33,069.42
  6. Step 6: Final answer
    x = 19,217.41

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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.