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Finding the Fourth Proportional to 32,771.26, 49,157.06 and 8,147.26

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Solution

The fourth proportional to 32,771.26, 49,157.06 and 8,147.26 is: 12,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.26 : 49,157.06 = 8,147.26 : x
  2. Step 2: Convert to fraction form
    32,771.26/49,157.06 = 8,147.26/x
  3. Step 3: Cross multiply
    32,771.26x = 49,157.06 × 8,147.26
  4. Step 4: Simplify right side
    32,771.26x = 400,495,348.66
  5. Step 5: Solve for x
    x = 400,495,348.66/32,771.26
  6. Step 6: Final answer
    x = 12,220.93

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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.