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Finding the Fourth Proportional to 75,413.40, 104,075.12 and 41,879.40

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Solution

The fourth proportional to 75,413.40, 104,075.12 and 41,879.40 is: 57,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413.40 : 104,075.12 = 41,879.40 : x
  2. Step 2: Convert to fraction form
    75,413.40/104,075.12 = 41,879.40/x
  3. Step 3: Cross multiply
    75,413.40x = 104,075.12 × 41,879.40
  4. Step 4: Simplify right side
    75,413.40x = 4,358,603,580.53
  5. Step 5: Solve for x
    x = 4,358,603,580.53/75,413.40
  6. Step 6: Final answer
    x = 57,796.14

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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.