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Finding the Fourth Proportional to 37,408.41, 51,624.86 and 20,413.59

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Solution

The fourth proportional to 37,408.41, 51,624.86 and 20,413.59 is: 28,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,408.41 : 51,624.86 = 20,413.59 : x
  2. Step 2: Convert to fraction form
    37,408.41/51,624.86 = 20,413.59/x
  3. Step 3: Cross multiply
    37,408.41x = 51,624.86 × 20,413.59
  4. Step 4: Simplify right side
    37,408.41x = 1,053,848,623.78
  5. Step 5: Solve for x
    x = 1,053,848,623.78/37,408.41
  6. Step 6: Final answer
    x = 28,171.44

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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.