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Finding the Fourth Proportional to 68,256, 102,378.24 and 23,274

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Solution

The fourth proportional to 68,256, 102,378.24 and 23,274 is: 34,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,256 : 102,378.24 = 23,274 : x
  2. Step 2: Convert to fraction form
    68,256/102,378.24 = 23,274/x
  3. Step 3: Cross multiply
    68,256x = 102,378.24 × 23,274
  4. Step 4: Simplify right side
    68,256x = 2,382,751,157.76
  5. Step 5: Solve for x
    x = 2,382,751,157.76/68,256
  6. Step 6: Final answer
    x = 34,909.04

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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.