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Finding the Fourth Proportional to 36,216, 54,331.68 and 11,255.40

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Solution

The fourth proportional to 36,216, 54,331.68 and 11,255.40 is: 16,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,216 : 54,331.68 = 11,255.40 : x
  2. Step 2: Convert to fraction form
    36,216/54,331.68 = 11,255.40/x
  3. Step 3: Cross multiply
    36,216x = 54,331.68 × 11,255.40
  4. Step 4: Simplify right side
    36,216x = 611,524,791.07
  5. Step 5: Solve for x
    x = 611,524,791.07/36,216
  6. Step 6: Final answer
    x = 16,885.49

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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.