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Finding the Fourth Proportional to 83,108.44, 114,662.66 and 49,117.96

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Solution

The fourth proportional to 83,108.44, 114,662.66 and 49,117.96 is: 67,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,108.44 : 114,662.66 = 49,117.96 : x
  2. Step 2: Convert to fraction form
    83,108.44/114,662.66 = 49,117.96/x
  3. Step 3: Cross multiply
    83,108.44x = 114,662.66 × 49,117.96
  4. Step 4: Simplify right side
    83,108.44x = 5,631,995,947.37
  5. Step 5: Solve for x
    x = 5,631,995,947.37/83,108.44
  6. Step 6: Final answer
    x = 67,766.84

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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.