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Finding the Fourth Proportional to 36,588, 50,491.98 and 19,821

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Solution

The fourth proportional to 36,588, 50,491.98 and 19,821 is: 27,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588 : 50,491.98 = 19,821 : x
  2. Step 2: Convert to fraction form
    36,588/50,491.98 = 19,821/x
  3. Step 3: Cross multiply
    36,588x = 50,491.98 × 19,821
  4. Step 4: Simplify right side
    36,588x = 1,000,801,535.58
  5. Step 5: Solve for x
    x = 1,000,801,535.58/36,588
  6. Step 6: Final answer
    x = 27,353.27

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