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Finding the Fourth Proportional to 31,450.16, 47,175.16 and 10,673.64

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Solution

The fourth proportional to 31,450.16, 47,175.16 and 10,673.64 is: 16,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450.16 : 47,175.16 = 10,673.64 : x
  2. Step 2: Convert to fraction form
    31,450.16/47,175.16 = 10,673.64/x
  3. Step 3: Cross multiply
    31,450.16x = 47,175.16 × 10,673.64
  4. Step 4: Simplify right side
    31,450.16x = 503,530,674.78
  5. Step 5: Solve for x
    x = 503,530,674.78/31,450.16
  6. Step 6: Final answer
    x = 16,010.43

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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.