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Finding the Fourth Proportional to 43,435.99, 65,112.37 and 13,834.64

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Solution

The fourth proportional to 43,435.99, 65,112.37 and 13,834.64 is: 20,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,435.99 : 65,112.37 = 13,834.64 : x
  2. Step 2: Convert to fraction form
    43,435.99/65,112.37 = 13,834.64/x
  3. Step 3: Cross multiply
    43,435.99x = 65,112.37 × 13,834.64
  4. Step 4: Simplify right side
    43,435.99x = 900,806,198.50
  5. Step 5: Solve for x
    x = 900,806,198.50/43,435.99
  6. Step 6: Final answer
    x = 20,738.71

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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.