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Finding the Fourth Proportional to 47,753.44, 71,629.90 and 12,214.71

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Solution

The fourth proportional to 47,753.44, 71,629.90 and 12,214.71 is: 18,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,753.44 : 71,629.90 = 12,214.71 : x
  2. Step 2: Convert to fraction form
    47,753.44/71,629.90 = 12,214.71/x
  3. Step 3: Cross multiply
    47,753.44x = 71,629.90 × 12,214.71
  4. Step 4: Simplify right side
    47,753.44x = 874,938,361.65
  5. Step 5: Solve for x
    x = 874,938,361.65/47,753.44
  6. Step 6: Final answer
    x = 18,321.99

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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.