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Finding the Fourth Proportional to 31,716.07, 47,570.32 and 8,344.33

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Solution

The fourth proportional to 31,716.07, 47,570.32 and 8,344.33 is: 12,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716.07 : 47,570.32 = 8,344.33 : x
  2. Step 2: Convert to fraction form
    31,716.07/47,570.32 = 8,344.33/x
  3. Step 3: Cross multiply
    31,716.07x = 47,570.32 × 8,344.33
  4. Step 4: Simplify right side
    31,716.07x = 396,942,448.29
  5. Step 5: Solve for x
    x = 396,942,448.29/31,716.07
  6. Step 6: Final answer
    x = 12,515.50

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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.