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Finding the Fourth Proportional to 68,199.80, 102,234.08 and 34,935.53

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Solution

The fourth proportional to 68,199.80, 102,234.08 and 34,935.53 is: 52,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,199.80 : 102,234.08 = 34,935.53 : x
  2. Step 2: Convert to fraction form
    68,199.80/102,234.08 = 34,935.53/x
  3. Step 3: Cross multiply
    68,199.80x = 102,234.08 × 34,935.53
  4. Step 4: Simplify right side
    68,199.80x = 3,571,601,768.86
  5. Step 5: Solve for x
    x = 3,571,601,768.86/68,199.80
  6. Step 6: Final answer
    x = 52,369.68

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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.