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Finding the Fourth Proportional to 36,942.50, 55,413.75 and 9,240.50

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Solution

The fourth proportional to 36,942.50, 55,413.75 and 9,240.50 is: 13,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,942.50 : 55,413.75 = 9,240.50 : x
  2. Step 2: Convert to fraction form
    36,942.50/55,413.75 = 9,240.50/x
  3. Step 3: Cross multiply
    36,942.50x = 55,413.75 × 9,240.50
  4. Step 4: Simplify right side
    36,942.50x = 512,050,756.88
  5. Step 5: Solve for x
    x = 512,050,756.88/36,942.50
  6. Step 6: Final answer
    x = 13,860.75

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1.5x scale

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.