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Finding the Fourth Proportional to 37,980.34, 52,413.33 and 20,984.52

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Solution

The fourth proportional to 37,980.34, 52,413.33 and 20,984.52 is: 28,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980.34 : 52,413.33 = 20,984.52 : x
  2. Step 2: Convert to fraction form
    37,980.34/52,413.33 = 20,984.52/x
  3. Step 3: Cross multiply
    37,980.34x = 52,413.33 × 20,984.52
  4. Step 4: Simplify right side
    37,980.34x = 1,099,868,571.65
  5. Step 5: Solve for x
    x = 1,099,868,571.65/37,980.34
  6. Step 6: Final answer
    x = 28,958.89

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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.