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Finding the Fourth Proportional to 103,120.36, 154,647.60 and 32,983

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Solution

The fourth proportional to 103,120.36, 154,647.60 and 32,983 is: 49,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,120.36 : 154,647.60 = 32,983 : x
  2. Step 2: Convert to fraction form
    103,120.36/154,647.60 = 32,983/x
  3. Step 3: Cross multiply
    103,120.36x = 154,647.60 × 32,983
  4. Step 4: Simplify right side
    103,120.36x = 5,100,741,790.80
  5. Step 5: Solve for x
    x = 5,100,741,790.80/103,120.36
  6. Step 6: Final answer
    x = 49,463.96

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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.