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Finding the Fourth Proportional to 37,382.67, 51,589.32 and 20,388.30

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Solution

The fourth proportional to 37,382.67, 51,589.32 and 20,388.30 is: 28,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,382.67 : 51,589.32 = 20,388.30 : x
  2. Step 2: Convert to fraction form
    37,382.67/51,589.32 = 20,388.30/x
  3. Step 3: Cross multiply
    37,382.67x = 51,589.32 × 20,388.30
  4. Step 4: Simplify right side
    37,382.67x = 1,051,818,532.96
  5. Step 5: Solve for x
    x = 1,051,818,532.96/37,382.67
  6. Step 6: Final answer
    x = 28,136.53

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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.