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Finding the Fourth Proportional to 36,588.20, 50,491.70 and 19,821.20

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Solution

The fourth proportional to 36,588.20, 50,491.70 and 19,821.20 is: 27,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588.20 : 50,491.70 = 19,821.20 : x
  2. Step 2: Convert to fraction form
    36,588.20/50,491.70 = 19,821.20/x
  3. Step 3: Cross multiply
    36,588.20x = 50,491.70 × 19,821.20
  4. Step 4: Simplify right side
    36,588.20x = 1,000,805,732.48
  5. Step 5: Solve for x
    x = 1,000,805,732.48/36,588.20
  6. Step 6: Final answer
    x = 27,353.24

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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.