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Finding the Fourth Proportional to 37,644.37, 51,553.76 and 37,152.31

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Solution

The fourth proportional to 37,644.37, 51,553.76 and 37,152.31 is: 50,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.37 : 51,553.76 = 37,152.31 : x
  2. Step 2: Convert to fraction form
    37,644.37/51,553.76 = 37,152.31/x
  3. Step 3: Cross multiply
    37,644.37x = 51,553.76 × 37,152.31
  4. Step 4: Simplify right side
    37,644.37x = 1,915,341,273.19
  5. Step 5: Solve for x
    x = 1,915,341,273.19/37,644.37
  6. Step 6: Final answer
    x = 50,879.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.