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Finding the Fourth Proportional to 33,074.68, 49,609.11 and 12,014.91

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Solution

The fourth proportional to 33,074.68, 49,609.11 and 12,014.91 is: 18,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074.68 : 49,609.11 = 12,014.91 : x
  2. Step 2: Convert to fraction form
    33,074.68/49,609.11 = 12,014.91/x
  3. Step 3: Cross multiply
    33,074.68x = 49,609.11 × 12,014.91
  4. Step 4: Simplify right side
    33,074.68x = 596,048,991.83
  5. Step 5: Solve for x
    x = 596,048,991.83/33,074.68
  6. Step 6: Final answer
    x = 18,021.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.