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Finding the Fourth Proportional to 31,824, 47,736 and 8,450.64

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Solution

The fourth proportional to 31,824, 47,736 and 8,450.64 is: 12,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,824 : 47,736 = 8,450.64 : x
  2. Step 2: Convert to fraction form
    31,824/47,736 = 8,450.64/x
  3. Step 3: Cross multiply
    31,824x = 47,736 × 8,450.64
  4. Step 4: Simplify right side
    31,824x = 403,399,751.04
  5. Step 5: Solve for x
    x = 403,399,751.04/31,824
  6. Step 6: Final answer
    x = 12,675.96

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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.