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Finding the Fourth Proportional to 36,189, 54,286.74 and 11,565

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Solution

The fourth proportional to 36,189, 54,286.74 and 11,565 is: 17,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189 : 54,286.74 = 11,565 : x
  2. Step 2: Convert to fraction form
    36,189/54,286.74 = 11,565/x
  3. Step 3: Cross multiply
    36,189x = 54,286.74 × 11,565
  4. Step 4: Simplify right side
    36,189x = 627,826,148.10
  5. Step 5: Solve for x
    x = 627,826,148.10/36,189
  6. Step 6: Final answer
    x = 17,348.54

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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.