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Finding the Fourth Proportional to 36,144.50, 49,880.54 and 20,228.92

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Solution

The fourth proportional to 36,144.50, 49,880.54 and 20,228.92 is: 27,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,144.50 : 49,880.54 = 20,228.92 : x
  2. Step 2: Convert to fraction form
    36,144.50/49,880.54 = 20,228.92/x
  3. Step 3: Cross multiply
    36,144.50x = 49,880.54 × 20,228.92
  4. Step 4: Simplify right side
    36,144.50x = 1,009,029,453.22
  5. Step 5: Solve for x
    x = 1,009,029,453.22/36,144.50
  6. Step 6: Final answer
    x = 27,916.54

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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.