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Finding the Fourth Proportional to 75,377.16, 104,016.42 and 41,841

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Solution

The fourth proportional to 75,377.16, 104,016.42 and 41,841 is: 57,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,377.16 : 104,016.42 = 41,841 : x
  2. Step 2: Convert to fraction form
    75,377.16/104,016.42 = 41,841/x
  3. Step 3: Cross multiply
    75,377.16x = 104,016.42 × 41,841
  4. Step 4: Simplify right side
    75,377.16x = 4,352,151,029.22
  5. Step 5: Solve for x
    x = 4,352,151,029.22/75,377.16
  6. Step 6: Final answer
    x = 57,738.33

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