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Finding the Fourth Proportional to 82,147.85, 113,375.38 and 48,164.70

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Solution

The fourth proportional to 82,147.85, 113,375.38 and 48,164.70 is: 66,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,147.85 : 113,375.38 = 48,164.70 : x
  2. Step 2: Convert to fraction form
    82,147.85/113,375.38 = 48,164.70/x
  3. Step 3: Cross multiply
    82,147.85x = 113,375.38 × 48,164.70
  4. Step 4: Simplify right side
    82,147.85x = 5,460,691,165.09
  5. Step 5: Solve for x
    x = 5,460,691,165.09/82,147.85
  6. Step 6: Final answer
    x = 66,473.94

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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.