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Finding the Fourth Proportional to 83,778.49, 115,611.38 and 46,052.47

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Solution

The fourth proportional to 83,778.49, 115,611.38 and 46,052.47 is: 63,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778.49 : 115,611.38 = 46,052.47 : x
  2. Step 2: Convert to fraction form
    83,778.49/115,611.38 = 46,052.47/x
  3. Step 3: Cross multiply
    83,778.49x = 115,611.38 × 46,052.47
  4. Step 4: Simplify right side
    83,778.49x = 5,324,189,031.05
  5. Step 5: Solve for x
    x = 5,324,189,031.05/83,778.49
  6. Step 6: Final answer
    x = 63,550.79

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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.