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Finding the Fourth Proportional to 68,022.90, 102,034.22 and 18,103

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Solution

The fourth proportional to 68,022.90, 102,034.22 and 18,103 is: 27,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,022.90 : 102,034.22 = 18,103 : x
  2. Step 2: Convert to fraction form
    68,022.90/102,034.22 = 18,103/x
  3. Step 3: Cross multiply
    68,022.90x = 102,034.22 × 18,103
  4. Step 4: Simplify right side
    68,022.90x = 1,847,125,484.66
  5. Step 5: Solve for x
    x = 1,847,125,484.66/68,022.90
  6. Step 6: Final answer
    x = 27,154.47

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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.