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Finding the Fourth Proportional to 68,482.28, 102,724.77 and 31,035.44

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Solution

The fourth proportional to 68,482.28, 102,724.77 and 31,035.44 is: 46,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,482.28 : 102,724.77 = 31,035.44 : x
  2. Step 2: Convert to fraction form
    68,482.28/102,724.77 = 31,035.44/x
  3. Step 3: Cross multiply
    68,482.28x = 102,724.77 × 31,035.44
  4. Step 4: Simplify right side
    68,482.28x = 3,188,108,435.85
  5. Step 5: Solve for x
    x = 3,188,108,435.85/68,482.28
  6. Step 6: Final answer
    x = 46,553.77

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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.