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Finding the Fourth Proportional to 50,275.85, 75,413.78 and 20,683.85

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Solution

The fourth proportional to 50,275.85, 75,413.78 and 20,683.85 is: 31,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,275.85 : 75,413.78 = 20,683.85 : x
  2. Step 2: Convert to fraction form
    50,275.85/75,413.78 = 20,683.85/x
  3. Step 3: Cross multiply
    50,275.85x = 75,413.78 × 20,683.85
  4. Step 4: Simplify right side
    50,275.85x = 1,559,847,210.03
  5. Step 5: Solve for x
    x = 1,559,847,210.03/50,275.85
  6. Step 6: Final answer
    x = 31,025.78

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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.