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Finding the Fourth Proportional to 68,771.16, 103,022.46 and 32,696.28

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Solution

The fourth proportional to 68,771.16, 103,022.46 and 32,696.28 is: 48,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,771.16 : 103,022.46 = 32,696.28 : x
  2. Step 2: Convert to fraction form
    68,771.16/103,022.46 = 32,696.28/x
  3. Step 3: Cross multiply
    68,771.16x = 103,022.46 × 32,696.28
  4. Step 4: Simplify right side
    68,771.16x = 3,368,451,198.45
  5. Step 5: Solve for x
    x = 3,368,451,198.45/68,771.16
  6. Step 6: Final answer
    x = 48,980.58

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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.