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Finding the Fourth Proportional to 75,830.85, 104,645.88 and 41,839.65

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Solution

The fourth proportional to 75,830.85, 104,645.88 and 41,839.65 is: 57,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,830.85 : 104,645.88 = 41,839.65 : x
  2. Step 2: Convert to fraction form
    75,830.85/104,645.88 = 41,839.65/x
  3. Step 3: Cross multiply
    75,830.85x = 104,645.88 × 41,839.65
  4. Step 4: Simplify right side
    75,830.85x = 4,378,346,993.14
  5. Step 5: Solve for x
    x = 4,378,346,993.14/75,830.85
  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.