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Finding the Fourth Proportional to 68,794.12, 103,186.84 and 24,415

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Solution

The fourth proportional to 68,794.12, 103,186.84 and 24,415 is: 36,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,794.12 : 103,186.84 = 24,415 : x
  2. Step 2: Convert to fraction form
    68,794.12/103,186.84 = 24,415/x
  3. Step 3: Cross multiply
    68,794.12x = 103,186.84 × 24,415
  4. Step 4: Simplify right side
    68,794.12x = 2,519,306,698.60
  5. Step 5: Solve for x
    x = 2,519,306,698.60/68,794.12
  6. Step 6: Final answer
    x = 36,620.96

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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.