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Finding the Fourth Proportional to 36,491.34, 50,357.38 and 20,575.80

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Solution

The fourth proportional to 36,491.34, 50,357.38 and 20,575.80 is: 28,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,491.34 : 50,357.38 = 20,575.80 : x
  2. Step 2: Convert to fraction form
    36,491.34/50,357.38 = 20,575.80/x
  3. Step 3: Cross multiply
    36,491.34x = 50,357.38 × 20,575.80
  4. Step 4: Simplify right side
    36,491.34x = 1,036,143,379.40
  5. Step 5: Solve for x
    x = 1,036,143,379.40/36,491.34
  6. Step 6: Final answer
    x = 28,394.23

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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.