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Finding the Fourth Proportional to 123,171.21, 184,756.82 and 29,676.96

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Solution

The fourth proportional to 123,171.21, 184,756.82 and 29,676.96 is: 44,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,171.21 : 184,756.82 = 29,676.96 : x
  2. Step 2: Convert to fraction form
    123,171.21/184,756.82 = 29,676.96/x
  3. Step 3: Cross multiply
    123,171.21x = 184,756.82 × 29,676.96
  4. Step 4: Simplify right side
    123,171.21x = 5,483,020,608.48
  5. Step 5: Solve for x
    x = 5,483,020,608.48/123,171.21
  6. Step 6: Final answer
    x = 44,515.44

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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.