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Finding the Fourth Proportional to 66,846.42, 100,269.76 and 27,396.45

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Solution

The fourth proportional to 66,846.42, 100,269.76 and 27,396.45 is: 41,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,846.42 : 100,269.76 = 27,396.45 : x
  2. Step 2: Convert to fraction form
    66,846.42/100,269.76 = 27,396.45/x
  3. Step 3: Cross multiply
    66,846.42x = 100,269.76 × 27,396.45
  4. Step 4: Simplify right side
    66,846.42x = 2,747,035,466.35
  5. Step 5: Solve for x
    x = 2,747,035,466.35/66,846.42
  6. Step 6: Final answer
    x = 41,094.73

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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.