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Finding the Fourth Proportional to 75,705.34, 104,471.99 and 41,716.96

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Solution

The fourth proportional to 75,705.34, 104,471.99 and 41,716.96 is: 57,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,705.34 : 104,471.99 = 41,716.96 : x
  2. Step 2: Convert to fraction form
    75,705.34/104,471.99 = 41,716.96/x
  3. Step 3: Cross multiply
    75,705.34x = 104,471.99 × 41,716.96
  4. Step 4: Simplify right side
    75,705.34x = 4,358,253,906.39
  5. Step 5: Solve for x
    x = 4,358,253,906.39/75,705.34
  6. Step 6: Final answer
    x = 57,568.65

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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.