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Finding the Fourth Proportional to 62,457.82, 86,193.82 and 34,163.48

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Solution

The fourth proportional to 62,457.82, 86,193.82 and 34,163.48 is: 47,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,457.82 : 86,193.82 = 34,163.48 : x
  2. Step 2: Convert to fraction form
    62,457.82/86,193.82 = 34,163.48/x
  3. Step 3: Cross multiply
    62,457.82x = 86,193.82 × 34,163.48
  4. Step 4: Simplify right side
    62,457.82x = 2,944,680,845.69
  5. Step 5: Solve for x
    x = 2,944,680,845.69/62,457.82
  6. Step 6: Final answer
    x = 47,146.71

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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.