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Finding the Fourth Proportional to 81,918, 122,896.50 and 26,514

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Solution

The fourth proportional to 81,918, 122,896.50 and 26,514 is: 39,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,918 : 122,896.50 = 26,514 : x
  2. Step 2: Convert to fraction form
    81,918/122,896.50 = 26,514/x
  3. Step 3: Cross multiply
    81,918x = 122,896.50 × 26,514
  4. Step 4: Simplify right side
    81,918x = 3,258,477,801
  5. Step 5: Solve for x
    x = 3,258,477,801/81,918
  6. Step 6: Final answer
    x = 39,777.31

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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.