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Finding the Fourth Proportional to 43,914, 65,871.99 and 15,836.34

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Solution

The fourth proportional to 43,914, 65,871.99 and 15,836.34 is: 23,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,914 : 65,871.99 = 15,836.34 : x
  2. Step 2: Convert to fraction form
    43,914/65,871.99 = 15,836.34/x
  3. Step 3: Cross multiply
    43,914x = 65,871.99 × 15,836.34
  4. Step 4: Simplify right side
    43,914x = 1,043,171,230.12
  5. Step 5: Solve for x
    x = 1,043,171,230.12/43,914
  6. Step 6: Final answer
    x = 23,754.87

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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.