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Finding the Fourth Proportional to 53,738.53, 80,576.62 and 18,188.03

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Solution

The fourth proportional to 53,738.53, 80,576.62 and 18,188.03 is: 27,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738.53 : 80,576.62 = 18,188.03 : x
  2. Step 2: Convert to fraction form
    53,738.53/80,576.62 = 18,188.03/x
  3. Step 3: Cross multiply
    53,738.53x = 80,576.62 × 18,188.03
  4. Step 4: Simplify right side
    53,738.53x = 1,465,530,137.83
  5. Step 5: Solve for x
    x = 1,465,530,137.83/53,738.53
  6. Step 6: Final answer
    x = 27,271.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.