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Finding the Fourth Proportional to 68,163.88, 102,255.42 and 23,784.16

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Solution

The fourth proportional to 68,163.88, 102,255.42 and 23,784.16 is: 35,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,163.88 : 102,255.42 = 23,784.16 : x
  2. Step 2: Convert to fraction form
    68,163.88/102,255.42 = 23,784.16/x
  3. Step 3: Cross multiply
    68,163.88x = 102,255.42 × 23,784.16
  4. Step 4: Simplify right side
    68,163.88x = 2,432,059,270.15
  5. Step 5: Solve for x
    x = 2,432,059,270.15/68,163.88
  6. Step 6: Final answer
    x = 35,679.59

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1.5x scale

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.