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Finding the Fourth Proportional to 68,466.68, 102,674.10 and 26,891

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Solution

The fourth proportional to 68,466.68, 102,674.10 and 26,891 is: 40,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,466.68 : 102,674.10 = 26,891 : x
  2. Step 2: Convert to fraction form
    68,466.68/102,674.10 = 26,891/x
  3. Step 3: Cross multiply
    68,466.68x = 102,674.10 × 26,891
  4. Step 4: Simplify right side
    68,466.68x = 2,761,009,223.10
  5. Step 5: Solve for x
    x = 2,761,009,223.10/68,466.68
  6. Step 6: Final answer
    x = 40,326.32

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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.