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Finding the Fourth Proportional to 36,463.20, 54,697.92 and 10,168

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Solution

The fourth proportional to 36,463.20, 54,697.92 and 10,168 is: 15,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,463.20 : 54,697.92 = 10,168 : x
  2. Step 2: Convert to fraction form
    36,463.20/54,697.92 = 10,168/x
  3. Step 3: Cross multiply
    36,463.20x = 54,697.92 × 10,168
  4. Step 4: Simplify right side
    36,463.20x = 556,168,450.56
  5. Step 5: Solve for x
    x = 556,168,450.56/36,463.20
  6. Step 6: Final answer
    x = 15,252.87

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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.