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Finding the Fourth Proportional to 83,952.75, 115,879.22 and 67,074.51

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Solution

The fourth proportional to 83,952.75, 115,879.22 and 67,074.51 is: 92,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952.75 : 115,879.22 = 67,074.51 : x
  2. Step 2: Convert to fraction form
    83,952.75/115,879.22 = 67,074.51/x
  3. Step 3: Cross multiply
    83,952.75x = 115,879.22 × 67,074.51
  4. Step 4: Simplify right side
    83,952.75x = 7,772,541,900.68
  5. Step 5: Solve for x
    x = 7,772,541,900.68/83,952.75
  6. Step 6: Final answer
    x = 92,582.34

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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.