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Finding the Fourth Proportional to 32,676.75, 49,022.42 and 11,900.25

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Solution

The fourth proportional to 32,676.75, 49,022.42 and 11,900.25 is: 17,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.75 : 49,022.42 = 11,900.25 : x
  2. Step 2: Convert to fraction form
    32,676.75/49,022.42 = 11,900.25/x
  3. Step 3: Cross multiply
    32,676.75x = 49,022.42 × 11,900.25
  4. Step 4: Simplify right side
    32,676.75x = 583,378,994.10
  5. Step 5: Solve for x
    x = 583,378,994.10/32,676.75
  6. Step 6: Final answer
    x = 17,853.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.