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Finding the Fourth Proportional to 36,427.34, 50,264.16 and 20,511.38

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Solution

The fourth proportional to 36,427.34, 50,264.16 and 20,511.38 is: 28,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,427.34 : 50,264.16 = 20,511.38 : x
  2. Step 2: Convert to fraction form
    36,427.34/50,264.16 = 20,511.38/x
  3. Step 3: Cross multiply
    36,427.34x = 50,264.16 × 20,511.38
  4. Step 4: Simplify right side
    36,427.34x = 1,030,987,286.14
  5. Step 5: Solve for x
    x = 1,030,987,286.14/36,427.34
  6. Step 6: Final answer
    x = 28,302.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.