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Finding the Fourth Proportional to 100,593, 150,912.84 and 29,512.77

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Solution

The fourth proportional to 100,593, 150,912.84 and 29,512.77 is: 44,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593 : 150,912.84 = 29,512.77 : x
  2. Step 2: Convert to fraction form
    100,593/150,912.84 = 29,512.77/x
  3. Step 3: Cross multiply
    100,593x = 150,912.84 × 29,512.77
  4. Step 4: Simplify right side
    100,593x = 4,453,855,936.97
  5. Step 5: Solve for x
    x = 4,453,855,936.97/100,593
  6. Step 6: Final answer
    x = 44,276.00

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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.