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Finding the Fourth Proportional to 37,189.72, 51,321.90 and 20,423.80

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Solution

The fourth proportional to 37,189.72, 51,321.90 and 20,423.80 is: 28,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189.72 : 51,321.90 = 20,423.80 : x
  2. Step 2: Convert to fraction form
    37,189.72/51,321.90 = 20,423.80/x
  3. Step 3: Cross multiply
    37,189.72x = 51,321.90 × 20,423.80
  4. Step 4: Simplify right side
    37,189.72x = 1,048,188,221.22
  5. Step 5: Solve for x
    x = 1,048,188,221.22/37,189.72
  6. Step 6: Final answer
    x = 28,184.89

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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.