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Finding the Fourth Proportional to 83,754.70, 125,636.84 and 23,778.49

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Solution

The fourth proportional to 83,754.70, 125,636.84 and 23,778.49 is: 35,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754.70 : 125,636.84 = 23,778.49 : x
  2. Step 2: Convert to fraction form
    83,754.70/125,636.84 = 23,778.49/x
  3. Step 3: Cross multiply
    83,754.70x = 125,636.84 × 23,778.49
  4. Step 4: Simplify right side
    83,754.70x = 2,987,453,596.49
  5. Step 5: Solve for x
    x = 2,987,453,596.49/83,754.70
  6. Step 6: Final answer
    x = 35,669.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.