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Finding the Fourth Proportional to 36,814.19, 50,805.72 and 27,723.28

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Solution

The fourth proportional to 36,814.19, 50,805.72 and 27,723.28 is: 38,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,814.19 : 50,805.72 = 27,723.28 : x
  2. Step 2: Convert to fraction form
    36,814.19/50,805.72 = 27,723.28/x
  3. Step 3: Cross multiply
    36,814.19x = 50,805.72 × 27,723.28
  4. Step 4: Simplify right side
    36,814.19x = 1,408,501,201.16
  5. Step 5: Solve for x
    x = 1,408,501,201.16/36,814.19
  6. Step 6: Final answer
    x = 38,259.74

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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.