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Finding the Fourth Proportional to 31,443.77, 47,164.56 and 8,954.59

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Solution

The fourth proportional to 31,443.77, 47,164.56 and 8,954.59 is: 13,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443.77 : 47,164.56 = 8,954.59 : x
  2. Step 2: Convert to fraction form
    31,443.77/47,164.56 = 8,954.59/x
  3. Step 3: Cross multiply
    31,443.77x = 47,164.56 × 8,954.59
  4. Step 4: Simplify right side
    31,443.77x = 422,339,297.33
  5. Step 5: Solve for x
    x = 422,339,297.33/31,443.77
  6. Step 6: Final answer
    x = 13,431.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.