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Finding the Fourth Proportional to 57,622, 86,447.58 and 16,069

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Solution

The fourth proportional to 57,622, 86,447.58 and 16,069 is: 24,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,622 : 86,447.58 = 16,069 : x
  2. Step 2: Convert to fraction form
    57,622/86,447.58 = 16,069/x
  3. Step 3: Cross multiply
    57,622x = 86,447.58 × 16,069
  4. Step 4: Simplify right side
    57,622x = 1,389,126,163.02
  5. Step 5: Solve for x
    x = 1,389,126,163.02/57,622
  6. Step 6: Final answer
    x = 24,107.57

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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.