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Finding the Fourth Proportional to 100,649.18, 150,974.42 and 29,571.53

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Solution

The fourth proportional to 100,649.18, 150,974.42 and 29,571.53 is: 44,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,649.18 : 150,974.42 = 29,571.53 : x
  2. Step 2: Convert to fraction form
    100,649.18/150,974.42 = 29,571.53/x
  3. Step 3: Cross multiply
    100,649.18x = 150,974.42 × 29,571.53
  4. Step 4: Simplify right side
    100,649.18x = 4,464,543,687.53
  5. Step 5: Solve for x
    x = 4,464,543,687.53/100,649.18
  6. Step 6: Final answer
    x = 44,357.48

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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.