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Finding the Fourth Proportional to 33,212.58, 49,809.15 and 12,431.22

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Solution

The fourth proportional to 33,212.58, 49,809.15 and 12,431.22 is: 18,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212.58 : 49,809.15 = 12,431.22 : x
  2. Step 2: Convert to fraction form
    33,212.58/49,809.15 = 12,431.22/x
  3. Step 3: Cross multiply
    33,212.58x = 49,809.15 × 12,431.22
  4. Step 4: Simplify right side
    33,212.58x = 619,188,501.66
  5. Step 5: Solve for x
    x = 619,188,501.66/33,212.58
  6. Step 6: Final answer
    x = 18,643.19

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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.