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Finding the Fourth Proportional to 68,400.90, 102,662.10 and 40,285.80

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Solution

The fourth proportional to 68,400.90, 102,662.10 and 40,285.80 is: 60,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400.90 : 102,662.10 = 40,285.80 : x
  2. Step 2: Convert to fraction form
    68,400.90/102,662.10 = 40,285.80/x
  3. Step 3: Cross multiply
    68,400.90x = 102,662.10 × 40,285.80
  4. Step 4: Simplify right side
    68,400.90x = 4,135,824,828.18
  5. Step 5: Solve for x
    x = 4,135,824,828.18/68,400.90
  6. Step 6: Final answer
    x = 60,464.48

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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.