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Finding the Fourth Proportional to 37,471.68, 51,704.16 and 24,216

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Solution

The fourth proportional to 37,471.68, 51,704.16 and 24,216 is: 33,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,471.68 : 51,704.16 = 24,216 : x
  2. Step 2: Convert to fraction form
    37,471.68/51,704.16 = 24,216/x
  3. Step 3: Cross multiply
    37,471.68x = 51,704.16 × 24,216
  4. Step 4: Simplify right side
    37,471.68x = 1,252,067,938.56
  5. Step 5: Solve for x
    x = 1,252,067,938.56/37,471.68
  6. Step 6: Final answer
    x = 33,413.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.