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Finding the Fourth Proportional to 20,669, 31,003.50 and 6,077

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Solution

The fourth proportional to 20,669, 31,003.50 and 6,077 is: 9,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,669 : 31,003.50 = 6,077 : x
  2. Step 2: Convert to fraction form
    20,669/31,003.50 = 6,077/x
  3. Step 3: Cross multiply
    20,669x = 31,003.50 × 6,077
  4. Step 4: Simplify right side
    20,669x = 188,408,269.50
  5. Step 5: Solve for x
    x = 188,408,269.50/20,669
  6. Step 6: Final answer
    x = 9,115.50

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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.