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Finding the Fourth Proportional to 68,576.64, 102,850.56 and 26,442.24

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Solution

The fourth proportional to 68,576.64, 102,850.56 and 26,442.24 is: 39,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,576.64 : 102,850.56 = 26,442.24 : x
  2. Step 2: Convert to fraction form
    68,576.64/102,850.56 = 26,442.24/x
  3. Step 3: Cross multiply
    68,576.64x = 102,850.56 × 26,442.24
  4. Step 4: Simplify right side
    68,576.64x = 2,719,599,191.65
  5. Step 5: Solve for x
    x = 2,719,599,191.65/68,576.64
  6. Step 6: Final answer
    x = 39,657.81

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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.