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Finding the Fourth Proportional to 85,163.68, 127,735.80 and 22,829.32

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Solution

The fourth proportional to 85,163.68, 127,735.80 and 22,829.32 is: 34,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,163.68 : 127,735.80 = 22,829.32 : x
  2. Step 2: Convert to fraction form
    85,163.68/127,735.80 = 22,829.32/x
  3. Step 3: Cross multiply
    85,163.68x = 127,735.80 × 22,829.32
  4. Step 4: Simplify right side
    85,163.68x = 2,916,121,453.66
  5. Step 5: Solve for x
    x = 2,916,121,453.66/85,163.68
  6. Step 6: Final answer
    x = 34,241.37

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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.