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Finding the Fourth Proportional to 68,144.63, 102,217.86 and 21,397.50

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Solution

The fourth proportional to 68,144.63, 102,217.86 and 21,397.50 is: 32,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144.63 : 102,217.86 = 21,397.50 : x
  2. Step 2: Convert to fraction form
    68,144.63/102,217.86 = 21,397.50/x
  3. Step 3: Cross multiply
    68,144.63x = 102,217.86 × 21,397.50
  4. Step 4: Simplify right side
    68,144.63x = 2,187,206,659.35
  5. Step 5: Solve for x
    x = 2,187,206,659.35/68,144.63
  6. Step 6: Final answer
    x = 32,096.54

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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.