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Finding the Fourth Proportional to 77,191, 106,523.58 and 41,863

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Solution

The fourth proportional to 77,191, 106,523.58 and 41,863 is: 57,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,191 : 106,523.58 = 41,863 : x
  2. Step 2: Convert to fraction form
    77,191/106,523.58 = 41,863/x
  3. Step 3: Cross multiply
    77,191x = 106,523.58 × 41,863
  4. Step 4: Simplify right side
    77,191x = 4,459,396,629.54
  5. Step 5: Solve for x
    x = 4,459,396,629.54/77,191
  6. Step 6: Final answer
    x = 57,770.94

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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.