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Finding the Fourth Proportional to 68,057.85, 102,020.22 and 30,627.33

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Solution

The fourth proportional to 68,057.85, 102,020.22 and 30,627.33 is: 45,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,057.85 : 102,020.22 = 30,627.33 : x
  2. Step 2: Convert to fraction form
    68,057.85/102,020.22 = 30,627.33/x
  3. Step 3: Cross multiply
    68,057.85x = 102,020.22 × 30,627.33
  4. Step 4: Simplify right side
    68,057.85x = 3,124,606,944.61
  5. Step 5: Solve for x
    x = 3,124,606,944.61/68,057.85
  6. Step 6: Final answer
    x = 45,911.04

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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.