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Finding the Fourth Proportional to 68,297.12, 102,492 and 23,924.24

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Solution

The fourth proportional to 68,297.12, 102,492 and 23,924.24 is: 35,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,297.12 : 102,492 = 23,924.24 : x
  2. Step 2: Convert to fraction form
    68,297.12/102,492 = 23,924.24/x
  3. Step 3: Cross multiply
    68,297.12x = 102,492 × 23,924.24
  4. Step 4: Simplify right side
    68,297.12x = 2,452,043,206.08
  5. Step 5: Solve for x
    x = 2,452,043,206.08/68,297.12
  6. Step 6: Final answer
    x = 35,902.59

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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.