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Finding the Fourth Proportional to 36,456.48, 54,694.53 and 11,497.50

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Solution

The fourth proportional to 36,456.48, 54,694.53 and 11,497.50 is: 17,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,456.48 : 54,694.53 = 11,497.50 : x
  2. Step 2: Convert to fraction form
    36,456.48/54,694.53 = 11,497.50/x
  3. Step 3: Cross multiply
    36,456.48x = 54,694.53 × 11,497.50
  4. Step 4: Simplify right side
    36,456.48x = 628,850,358.68
  5. Step 5: Solve for x
    x = 628,850,358.68/36,456.48
  6. Step 6: Final answer
    x = 17,249.34

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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.