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Finding the Fourth Proportional to 43,609, 65,437.12 and 33,767.50

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Solution

The fourth proportional to 43,609, 65,437.12 and 33,767.50 is: 50,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,609 : 65,437.12 = 33,767.50 : x
  2. Step 2: Convert to fraction form
    43,609/65,437.12 = 33,767.50/x
  3. Step 3: Cross multiply
    43,609x = 65,437.12 × 33,767.50
  4. Step 4: Simplify right side
    43,609x = 2,209,647,949.60
  5. Step 5: Solve for x
    x = 2,209,647,949.60/43,609
  6. Step 6: Final answer
    x = 50,669.54

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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.