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Finding the Fourth Proportional to 29,128.14, 43,691.76 and 8,351.64

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Solution

The fourth proportional to 29,128.14, 43,691.76 and 8,351.64 is: 12,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,128.14 : 43,691.76 = 8,351.64 : x
  2. Step 2: Convert to fraction form
    29,128.14/43,691.76 = 8,351.64/x
  3. Step 3: Cross multiply
    29,128.14x = 43,691.76 × 8,351.64
  4. Step 4: Simplify right side
    29,128.14x = 364,897,850.49
  5. Step 5: Solve for x
    x = 364,897,850.49/29,128.14
  6. Step 6: Final answer
    x = 12,527.33

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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.