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Finding the Fourth Proportional to 103,233.57, 154,835.78 and 33,103.77

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Solution

The fourth proportional to 103,233.57, 154,835.78 and 33,103.77 is: 49,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,233.57 : 154,835.78 = 33,103.77 : x
  2. Step 2: Convert to fraction form
    103,233.57/154,835.78 = 33,103.77/x
  3. Step 3: Cross multiply
    103,233.57x = 154,835.78 × 33,103.77
  4. Step 4: Simplify right side
    103,233.57x = 5,125,647,883.37
  5. Step 5: Solve for x
    x = 5,125,647,883.37/103,233.57
  6. Step 6: Final answer
    x = 49,650.98

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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.