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Finding the Fourth Proportional to 68,144.74, 102,222.87 and 21,397.66

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Solution

The fourth proportional to 68,144.74, 102,222.87 and 21,397.66 is: 32,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144.74 : 102,222.87 = 21,397.66 : x
  2. Step 2: Convert to fraction form
    68,144.74/102,222.87 = 21,397.66/x
  3. Step 3: Cross multiply
    68,144.74x = 102,222.87 × 21,397.66
  4. Step 4: Simplify right side
    68,144.74x = 2,187,330,216.48
  5. Step 5: Solve for x
    x = 2,187,330,216.48/68,144.74
  6. Step 6: Final answer
    x = 32,098.30

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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.