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Finding the Fourth Proportional to 26,546.48, 39,825.48 and 8,078

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Solution

The fourth proportional to 26,546.48, 39,825.48 and 8,078 is: 12,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.48 : 39,825.48 = 8,078 : x
  2. Step 2: Convert to fraction form
    26,546.48/39,825.48 = 8,078/x
  3. Step 3: Cross multiply
    26,546.48x = 39,825.48 × 8,078
  4. Step 4: Simplify right side
    26,546.48x = 321,710,227.44
  5. Step 5: Solve for x
    x = 321,710,227.44/26,546.48
  6. Step 6: Final answer
    x = 12,118.75

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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.