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Finding the Fourth Proportional to 49,885.21, 68,852.87 and 33,976

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Solution

The fourth proportional to 49,885.21, 68,852.87 and 33,976 is: 46,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,885.21 : 68,852.87 = 33,976 : x
  2. Step 2: Convert to fraction form
    49,885.21/68,852.87 = 33,976/x
  3. Step 3: Cross multiply
    49,885.21x = 68,852.87 × 33,976
  4. Step 4: Simplify right side
    49,885.21x = 2,339,345,111.12
  5. Step 5: Solve for x
    x = 2,339,345,111.12/49,885.21
  6. Step 6: Final answer
    x = 46,894.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.