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Finding the Fourth Proportional to 68,021.44, 102,062.94 and 34,724.32

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Solution

The fourth proportional to 68,021.44, 102,062.94 and 34,724.32 is: 52,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,021.44 : 102,062.94 = 34,724.32 : x
  2. Step 2: Convert to fraction form
    68,021.44/102,062.94 = 34,724.32/x
  3. Step 3: Cross multiply
    68,021.44x = 102,062.94 × 34,724.32
  4. Step 4: Simplify right side
    68,021.44x = 3,544,066,188.70
  5. Step 5: Solve for x
    x = 3,544,066,188.70/68,021.44
  6. Step 6: Final answer
    x = 52,102.19

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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.