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Finding the Fourth Proportional to 29,097, 43,646.04 and 8,321.04

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Solution

The fourth proportional to 29,097, 43,646.04 and 8,321.04 is: 12,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097 : 43,646.04 = 8,321.04 : x
  2. Step 2: Convert to fraction form
    29,097/43,646.04 = 8,321.04/x
  3. Step 3: Cross multiply
    29,097x = 43,646.04 × 8,321.04
  4. Step 4: Simplify right side
    29,097x = 363,180,444.68
  5. Step 5: Solve for x
    x = 363,180,444.68/29,097
  6. Step 6: Final answer
    x = 12,481.71

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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.