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Finding the Fourth Proportional to 33,213.80, 49,830.30 and 9,840.68

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Solution

The fourth proportional to 33,213.80, 49,830.30 and 9,840.68 is: 14,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,213.80 : 49,830.30 = 9,840.68 : x
  2. Step 2: Convert to fraction form
    33,213.80/49,830.30 = 9,840.68/x
  3. Step 3: Cross multiply
    33,213.80x = 49,830.30 × 9,840.68
  4. Step 4: Simplify right side
    33,213.80x = 490,364,036.60
  5. Step 5: Solve for x
    x = 490,364,036.60/33,213.80
  6. Step 6: Final answer
    x = 14,763.86

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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.