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Finding the Fourth Proportional to 83,896.87, 115,751.62 and 47,592.33

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Solution

The fourth proportional to 83,896.87, 115,751.62 and 47,592.33 is: 65,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.87 : 115,751.62 = 47,592.33 : x
  2. Step 2: Convert to fraction form
    83,896.87/115,751.62 = 47,592.33/x
  3. Step 3: Cross multiply
    83,896.87x = 115,751.62 × 47,592.33
  4. Step 4: Simplify right side
    83,896.87x = 5,508,889,297.07
  5. Step 5: Solve for x
    x = 5,508,889,297.07/83,896.87
  6. Step 6: Final answer
    x = 65,662.63

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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.