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Finding the Fourth Proportional to 36,255, 54,382.50 and 12,882.36

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Solution

The fourth proportional to 36,255, 54,382.50 and 12,882.36 is: 19,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,255 : 54,382.50 = 12,882.36 : x
  2. Step 2: Convert to fraction form
    36,255/54,382.50 = 12,882.36/x
  3. Step 3: Cross multiply
    36,255x = 54,382.50 × 12,882.36
  4. Step 4: Simplify right side
    36,255x = 700,574,942.70
  5. Step 5: Solve for x
    x = 700,574,942.70/36,255
  6. Step 6: Final answer
    x = 19,323.54

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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.