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Finding the Fourth Proportional to 100,455.22, 150,765.72 and 50,549.50

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Solution

The fourth proportional to 100,455.22, 150,765.72 and 50,549.50 is: 75,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,455.22 : 150,765.72 = 50,549.50 : x
  2. Step 2: Convert to fraction form
    100,455.22/150,765.72 = 50,549.50/x
  3. Step 3: Cross multiply
    100,455.22x = 150,765.72 × 50,549.50
  4. Step 4: Simplify right side
    100,455.22x = 7,621,131,763.14
  5. Step 5: Solve for x
    x = 7,621,131,763.14/100,455.22
  6. Step 6: Final answer
    x = 75,865.96

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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.