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Finding the Fourth Proportional to 50,413.84, 75,430.75 and 30,075.38

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Solution

The fourth proportional to 50,413.84, 75,430.75 and 30,075.38 is: 44,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.84 : 75,430.75 = 30,075.38 : x
  2. Step 2: Convert to fraction form
    50,413.84/75,430.75 = 30,075.38/x
  3. Step 3: Cross multiply
    50,413.84x = 75,430.75 × 30,075.38
  4. Step 4: Simplify right side
    50,413.84x = 2,268,608,356.85
  5. Step 5: Solve for x
    x = 2,268,608,356.85/50,413.84
  6. Step 6: Final answer
    x = 44,999.72

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