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Finding the Fourth Proportional to 62,458.30, 86,193.12 and 34,163.38

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Solution

The fourth proportional to 62,458.30, 86,193.12 and 34,163.38 is: 47,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,458.30 : 86,193.12 = 34,163.38 : x
  2. Step 2: Convert to fraction form
    62,458.30/86,193.12 = 34,163.38/x
  3. Step 3: Cross multiply
    62,458.30x = 86,193.12 × 34,163.38
  4. Step 4: Simplify right side
    62,458.30x = 2,944,648,311.95
  5. Step 5: Solve for x
    x = 2,944,648,311.95/62,458.30
  6. Step 6: Final answer
    x = 47,145.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.