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Finding the Fourth Proportional to 53,660, 80,494.44 and 16,724

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Solution

The fourth proportional to 53,660, 80,494.44 and 16,724 is: 25,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,660 : 80,494.44 = 16,724 : x
  2. Step 2: Convert to fraction form
    53,660/80,494.44 = 16,724/x
  3. Step 3: Cross multiply
    53,660x = 80,494.44 × 16,724
  4. Step 4: Simplify right side
    53,660x = 1,346,189,014.56
  5. Step 5: Solve for x
    x = 1,346,189,014.56/53,660
  6. Step 6: Final answer
    x = 25,087.38

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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.