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Finding the Fourth Proportional to 37,227.72, 51,374.42 and 20,461.80

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Solution

The fourth proportional to 37,227.72, 51,374.42 and 20,461.80 is: 28,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227.72 : 51,374.42 = 20,461.80 : x
  2. Step 2: Convert to fraction form
    37,227.72/51,374.42 = 20,461.80/x
  3. Step 3: Cross multiply
    37,227.72x = 51,374.42 × 20,461.80
  4. Step 4: Simplify right side
    37,227.72x = 1,051,213,107.16
  5. Step 5: Solve for x
    x = 1,051,213,107.16/37,227.72
  6. Step 6: Final answer
    x = 28,237.38

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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.