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Finding the Fourth Proportional to 47,616.60, 65,766.96 and 31,672.56

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Solution

The fourth proportional to 47,616.60, 65,766.96 and 31,672.56 is: 43,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,616.60 : 65,766.96 = 31,672.56 : x
  2. Step 2: Convert to fraction form
    47,616.60/65,766.96 = 31,672.56/x
  3. Step 3: Cross multiply
    47,616.60x = 65,766.96 × 31,672.56
  4. Step 4: Simplify right side
    47,616.60x = 2,083,007,986.62
  5. Step 5: Solve for x
    x = 2,083,007,986.62/47,616.60
  6. Step 6: Final answer
    x = 43,745.42

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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.