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Finding the Fourth Proportional to 33,649.41, 46,099.86 and 32,388.24

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Solution

The fourth proportional to 33,649.41, 46,099.86 and 32,388.24 is: 44,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649.41 : 46,099.86 = 32,388.24 : x
  2. Step 2: Convert to fraction form
    33,649.41/46,099.86 = 32,388.24/x
  3. Step 3: Cross multiply
    33,649.41x = 46,099.86 × 32,388.24
  4. Step 4: Simplify right side
    33,649.41x = 1,493,093,329.65
  5. Step 5: Solve for x
    x = 1,493,093,329.65/33,649.41
  6. Step 6: Final answer
    x = 44,372.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.