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Finding the Fourth Proportional to 36,936, 55,403.76 and 9,234

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Solution

The fourth proportional to 36,936, 55,403.76 and 9,234 is: 13,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,936 : 55,403.76 = 9,234 : x
  2. Step 2: Convert to fraction form
    36,936/55,403.76 = 9,234/x
  3. Step 3: Cross multiply
    36,936x = 55,403.76 × 9,234
  4. Step 4: Simplify right side
    36,936x = 511,598,319.84
  5. Step 5: Solve for x
    x = 511,598,319.84/36,936
  6. Step 6: Final answer
    x = 13,850.94

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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.