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Finding the Fourth Proportional to 37,196, 55,797.24 and 9,494

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Solution

The fourth proportional to 37,196, 55,797.24 and 9,494 is: 14,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,196 : 55,797.24 = 9,494 : x
  2. Step 2: Convert to fraction form
    37,196/55,797.24 = 9,494/x
  3. Step 3: Cross multiply
    37,196x = 55,797.24 × 9,494
  4. Step 4: Simplify right side
    37,196x = 529,738,996.56
  5. Step 5: Solve for x
    x = 529,738,996.56/37,196
  6. Step 6: Final answer
    x = 14,241.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.