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Finding the Fourth Proportional to 36,266, 54,406.80 and 11,305.52

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Solution

The fourth proportional to 36,266, 54,406.80 and 11,305.52 is: 16,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,266 : 54,406.80 = 11,305.52 : x
  2. Step 2: Convert to fraction form
    36,266/54,406.80 = 11,305.52/x
  3. Step 3: Cross multiply
    36,266x = 54,406.80 × 11,305.52
  4. Step 4: Simplify right side
    36,266x = 615,097,165.54
  5. Step 5: Solve for x
    x = 615,097,165.54/36,266
  6. Step 6: Final answer
    x = 16,960.71

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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.