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Finding the Fourth Proportional to 66,828, 100,164.24 and 27,337.26

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Solution

The fourth proportional to 66,828, 100,164.24 and 27,337.26 is: 40,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,828 : 100,164.24 = 27,337.26 : x
  2. Step 2: Convert to fraction form
    66,828/100,164.24 = 27,337.26/x
  3. Step 3: Cross multiply
    66,828x = 100,164.24 × 27,337.26
  4. Step 4: Simplify right side
    66,828x = 2,738,215,871.58
  5. Step 5: Solve for x
    x = 2,738,215,871.58/66,828
  6. Step 6: Final answer
    x = 40,974.08

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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.