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Finding the Fourth Proportional to 62,455.92, 86,189.85 and 34,161

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Solution

The fourth proportional to 62,455.92, 86,189.85 and 34,161 is: 47,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,455.92 : 86,189.85 = 34,161 : x
  2. Step 2: Convert to fraction form
    62,455.92/86,189.85 = 34,161/x
  3. Step 3: Cross multiply
    62,455.92x = 86,189.85 × 34,161
  4. Step 4: Simplify right side
    62,455.92x = 2,944,331,465.85
  5. Step 5: Solve for x
    x = 2,944,331,465.85/62,455.92
  6. Step 6: Final answer
    x = 47,142.55

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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.