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Finding the Fourth Proportional to 36,226, 54,343.86 and 15,454.36

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Solution

The fourth proportional to 36,226, 54,343.86 and 15,454.36 is: 23,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,226 : 54,343.86 = 15,454.36 : x
  2. Step 2: Convert to fraction form
    36,226/54,343.86 = 15,454.36/x
  3. Step 3: Cross multiply
    36,226x = 54,343.86 × 15,454.36
  4. Step 4: Simplify right side
    36,226x = 839,849,576.23
  5. Step 5: Solve for x
    x = 839,849,576.23/36,226
  6. Step 6: Final answer
    x = 23,183.61

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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.