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Finding the Fourth Proportional to 51,211.75, 76,817.67 and 14,275.75

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Solution

The fourth proportional to 51,211.75, 76,817.67 and 14,275.75 is: 21,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,211.75 : 76,817.67 = 14,275.75 : x
  2. Step 2: Convert to fraction form
    51,211.75/76,817.67 = 14,275.75/x
  3. Step 3: Cross multiply
    51,211.75x = 76,817.67 × 14,275.75
  4. Step 4: Simplify right side
    51,211.75x = 1,096,629,852.50
  5. Step 5: Solve for x
    x = 1,096,629,852.50/51,211.75
  6. Step 6: Final answer
    x = 21,413.64

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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.