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Finding the Fourth Proportional to 36,459.16, 54,689.92 and 11,499.44

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Solution

The fourth proportional to 36,459.16, 54,689.92 and 11,499.44 is: 17,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,459.16 : 54,689.92 = 11,499.44 : x
  2. Step 2: Convert to fraction form
    36,459.16/54,689.92 = 11,499.44/x
  3. Step 3: Cross multiply
    36,459.16x = 54,689.92 × 11,499.44
  4. Step 4: Simplify right side
    36,459.16x = 628,903,453.64
  5. Step 5: Solve for x
    x = 628,903,453.64/36,459.16
  6. Step 6: Final answer
    x = 17,249.53

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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.