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Finding the Fourth Proportional to 57,370.14, 79,171.81 and 31,878.86

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Solution

The fourth proportional to 57,370.14, 79,171.81 and 31,878.86 is: 43,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,370.14 : 79,171.81 = 31,878.86 : x
  2. Step 2: Convert to fraction form
    57,370.14/79,171.81 = 31,878.86/x
  3. Step 3: Cross multiply
    57,370.14x = 79,171.81 × 31,878.86
  4. Step 4: Simplify right side
    57,370.14x = 2,523,907,046.94
  5. Step 5: Solve for x
    x = 2,523,907,046.94/57,370.14
  6. Step 6: Final answer
    x = 43,993.39

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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.