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Finding the Fourth Proportional to 36,805.32, 50,791.32 and 20,038.32

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Solution

The fourth proportional to 36,805.32, 50,791.32 and 20,038.32 is: 27,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,805.32 : 50,791.32 = 20,038.32 : x
  2. Step 2: Convert to fraction form
    36,805.32/50,791.32 = 20,038.32/x
  3. Step 3: Cross multiply
    36,805.32x = 50,791.32 × 20,038.32
  4. Step 4: Simplify right side
    36,805.32x = 1,017,772,723.38
  5. Step 5: Solve for x
    x = 1,017,772,723.38/36,805.32
  6. Step 6: Final answer
    x = 27,652.87

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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.