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Finding the Fourth Proportional to 100,593.90, 150,780.69 and 41,413.68

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Solution

The fourth proportional to 100,593.90, 150,780.69 and 41,413.68 is: 62,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593.90 : 150,780.69 = 41,413.68 : x
  2. Step 2: Convert to fraction form
    100,593.90/150,780.69 = 41,413.68/x
  3. Step 3: Cross multiply
    100,593.90x = 150,780.69 × 41,413.68
  4. Step 4: Simplify right side
    100,593.90x = 6,244,383,245.84
  5. Step 5: Solve for x
    x = 6,244,383,245.84/100,593.90
  6. Step 6: Final answer
    x = 62,075.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.