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Finding the Fourth Proportional to 67,958, 93,786.84 and 38,150

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Solution

The fourth proportional to 67,958, 93,786.84 and 38,150 is: 52,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,958 : 93,786.84 = 38,150 : x
  2. Step 2: Convert to fraction form
    67,958/93,786.84 = 38,150/x
  3. Step 3: Cross multiply
    67,958x = 93,786.84 × 38,150
  4. Step 4: Simplify right side
    67,958x = 3,577,967,946
  5. Step 5: Solve for x
    x = 3,577,967,946/67,958
  6. Step 6: Final answer
    x = 52,649.69

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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.