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Finding the Fourth Proportional to 33,309.80, 49,958.94 and 12,533.48

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Solution

The fourth proportional to 33,309.80, 49,958.94 and 12,533.48 is: 18,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309.80 : 49,958.94 = 12,533.48 : x
  2. Step 2: Convert to fraction form
    33,309.80/49,958.94 = 12,533.48/x
  3. Step 3: Cross multiply
    33,309.80x = 49,958.94 × 12,533.48
  4. Step 4: Simplify right side
    33,309.80x = 626,159,375.31
  5. Step 5: Solve for x
    x = 626,159,375.31/33,309.80
  6. Step 6: Final answer
    x = 18,798.05

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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.