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Finding the Fourth Proportional to 68,044.64, 102,022.64 and 23,668

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Solution

The fourth proportional to 68,044.64, 102,022.64 and 23,668 is: 35,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,044.64 : 102,022.64 = 23,668 : x
  2. Step 2: Convert to fraction form
    68,044.64/102,022.64 = 23,668/x
  3. Step 3: Cross multiply
    68,044.64x = 102,022.64 × 23,668
  4. Step 4: Simplify right side
    68,044.64x = 2,414,671,843.52
  5. Step 5: Solve for x
    x = 2,414,671,843.52/68,044.64
  6. Step 6: Final answer
    x = 35,486.58

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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.