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Finding the Fourth Proportional to 66,942.78, 92,380.26 and 38,647.86

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Solution

The fourth proportional to 66,942.78, 92,380.26 and 38,647.86 is: 53,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942.78 : 92,380.26 = 38,647.86 : x
  2. Step 2: Convert to fraction form
    66,942.78/92,380.26 = 38,647.86/x
  3. Step 3: Cross multiply
    66,942.78x = 92,380.26 × 38,647.86
  4. Step 4: Simplify right side
    66,942.78x = 3,570,299,355.24
  5. Step 5: Solve for x
    x = 3,570,299,355.24/66,942.78
  6. Step 6: Final answer
    x = 53,333.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.