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Finding the Fourth Proportional to 36,231.76, 54,348.00 and 9,936.48

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Solution

The fourth proportional to 36,231.76, 54,348.00 and 9,936.48 is: 14,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,231.76 : 54,348.00 = 9,936.48 : x
  2. Step 2: Convert to fraction form
    36,231.76/54,348.00 = 9,936.48/x
  3. Step 3: Cross multiply
    36,231.76x = 54,348.00 × 9,936.48
  4. Step 4: Simplify right side
    36,231.76x = 540,027,765.36
  5. Step 5: Solve for x
    x = 540,027,765.36/36,231.76
  6. Step 6: Final answer
    x = 14,904.82

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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.