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Finding the Fourth Proportional to 33,137.46, 49,674.30 and 21,258

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Solution

The fourth proportional to 33,137.46, 49,674.30 and 21,258 is: 31,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,137.46 : 49,674.30 = 21,258 : x
  2. Step 2: Convert to fraction form
    33,137.46/49,674.30 = 21,258/x
  3. Step 3: Cross multiply
    33,137.46x = 49,674.30 × 21,258
  4. Step 4: Simplify right side
    33,137.46x = 1,055,976,269.40
  5. Step 5: Solve for x
    x = 1,055,976,269.40/33,137.46
  6. Step 6: Final answer
    x = 31,866.54

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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.