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Finding the Fourth Proportional to 22,451, 33,676.50 and 6,035

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Solution

The fourth proportional to 22,451, 33,676.50 and 6,035 is: 9,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451 : 33,676.50 = 6,035 : x
  2. Step 2: Convert to fraction form
    22,451/33,676.50 = 6,035/x
  3. Step 3: Cross multiply
    22,451x = 33,676.50 × 6,035
  4. Step 4: Simplify right side
    22,451x = 203,237,677.50
  5. Step 5: Solve for x
    x = 203,237,677.50/22,451
  6. Step 6: Final answer
    x = 9,052.50

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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.