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Finding the Fourth Proportional to 31,753.03, 47,640.21 and 12,037.09

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Solution

The fourth proportional to 31,753.03, 47,640.21 and 12,037.09 is: 18,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.03 : 47,640.21 = 12,037.09 : x
  2. Step 2: Convert to fraction form
    31,753.03/47,640.21 = 12,037.09/x
  3. Step 3: Cross multiply
    31,753.03x = 47,640.21 × 12,037.09
  4. Step 4: Simplify right side
    31,753.03x = 573,449,495.39
  5. Step 5: Solve for x
    x = 573,449,495.39/31,753.03
  6. Step 6: Final answer
    x = 18,059.68

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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.