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Finding the Fourth Proportional to 68,073.50, 102,110.34 and 33,018.32

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Solution

The fourth proportional to 68,073.50, 102,110.34 and 33,018.32 is: 49,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,073.50 : 102,110.34 = 33,018.32 : x
  2. Step 2: Convert to fraction form
    68,073.50/102,110.34 = 33,018.32/x
  3. Step 3: Cross multiply
    68,073.50x = 102,110.34 × 33,018.32
  4. Step 4: Simplify right side
    68,073.50x = 3,371,511,881.43
  5. Step 5: Solve for x
    x = 3,371,511,881.43/68,073.50
  6. Step 6: Final answer
    x = 49,527.52

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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.