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Finding the Fourth Proportional to 50,549.88, 75,825 and 15,489.48

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Solution

The fourth proportional to 50,549.88, 75,825 and 15,489.48 is: 23,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,549.88 : 75,825 = 15,489.48 : x
  2. Step 2: Convert to fraction form
    50,549.88/75,825 = 15,489.48/x
  3. Step 3: Cross multiply
    50,549.88x = 75,825 × 15,489.48
  4. Step 4: Simplify right side
    50,549.88x = 1,174,489,821
  5. Step 5: Solve for x
    x = 1,174,489,821/50,549.88
  6. Step 6: Final answer
    x = 23,234.28

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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.