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Finding the Fourth Proportional to 100,563.30, 150,865.20 and 29,485.80

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Solution

The fourth proportional to 100,563.30, 150,865.20 and 29,485.80 is: 44,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,563.30 : 150,865.20 = 29,485.80 : x
  2. Step 2: Convert to fraction form
    100,563.30/150,865.20 = 29,485.80/x
  3. Step 3: Cross multiply
    100,563.30x = 150,865.20 × 29,485.80
  4. Step 4: Simplify right side
    100,563.30x = 4,448,381,114.16
  5. Step 5: Solve for x
    x = 4,448,381,114.16/100,563.30
  6. Step 6: Final answer
    x = 44,234.64

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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.