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Finding the Fourth Proportional to 68,049.26, 102,094.64 and 34,792.68

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Solution

The fourth proportional to 68,049.26, 102,094.64 and 34,792.68 is: 52,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,049.26 : 102,094.64 = 34,792.68 : x
  2. Step 2: Convert to fraction form
    68,049.26/102,094.64 = 34,792.68/x
  3. Step 3: Cross multiply
    68,049.26x = 102,094.64 × 34,792.68
  4. Step 4: Simplify right side
    68,049.26x = 3,552,145,965.27
  5. Step 5: Solve for x
    x = 3,552,145,965.27/68,049.26
  6. Step 6: Final answer
    x = 52,199.63

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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.