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Finding the Fourth Proportional to 275,022.35, 412,533.84 and 75,344.45

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Solution

The fourth proportional to 275,022.35, 412,533.84 and 75,344.45 is: 113,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,022.35 : 412,533.84 = 75,344.45 : x
  2. Step 2: Convert to fraction form
    275,022.35/412,533.84 = 75,344.45/x
  3. Step 3: Cross multiply
    275,022.35x = 412,533.84 × 75,344.45
  4. Step 4: Simplify right side
    275,022.35x = 31,082,135,281.19
  5. Step 5: Solve for x
    x = 31,082,135,281.19/275,022.35
  6. Step 6: Final answer
    x = 113,016.76

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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.