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Finding the Fourth Proportional to 100,589.30, 150,904.20 and 29,511.80

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Solution

The fourth proportional to 100,589.30, 150,904.20 and 29,511.80 is: 44,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589.30 : 150,904.20 = 29,511.80 : x
  2. Step 2: Convert to fraction form
    100,589.30/150,904.20 = 29,511.80/x
  3. Step 3: Cross multiply
    100,589.30x = 150,904.20 × 29,511.80
  4. Step 4: Simplify right side
    100,589.30x = 4,453,454,569.56
  5. Step 5: Solve for x
    x = 4,453,454,569.56/100,589.30
  6. Step 6: Final answer
    x = 44,273.64

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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.