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Finding the Fourth Proportional to 37,296, 51,469.29 and 20,529

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Solution

The fourth proportional to 37,296, 51,469.29 and 20,529 is: 28,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,296 : 51,469.29 = 20,529 : x
  2. Step 2: Convert to fraction form
    37,296/51,469.29 = 20,529/x
  3. Step 3: Cross multiply
    37,296x = 51,469.29 × 20,529
  4. Step 4: Simplify right side
    37,296x = 1,056,613,054.41
  5. Step 5: Solve for x
    x = 1,056,613,054.41/37,296
  6. Step 6: Final answer
    x = 28,330.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.