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Finding the Fourth Proportional to 31,201.92, 43,054.56 and 18,624

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Solution

The fourth proportional to 31,201.92, 43,054.56 and 18,624 is: 25,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.92 : 43,054.56 = 18,624 : x
  2. Step 2: Convert to fraction form
    31,201.92/43,054.56 = 18,624/x
  3. Step 3: Cross multiply
    31,201.92x = 43,054.56 × 18,624
  4. Step 4: Simplify right side
    31,201.92x = 801,848,125.44
  5. Step 5: Solve for x
    x = 801,848,125.44/31,201.92
  6. Step 6: Final answer
    x = 25,698.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.