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Finding the Fourth Proportional to 33,830.40, 50,740.80 and 11,644.80

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Solution

The fourth proportional to 33,830.40, 50,740.80 and 11,644.80 is: 17,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.40 : 50,740.80 = 11,644.80 : x
  2. Step 2: Convert to fraction form
    33,830.40/50,740.80 = 11,644.80/x
  3. Step 3: Cross multiply
    33,830.40x = 50,740.80 × 11,644.80
  4. Step 4: Simplify right side
    33,830.40x = 590,866,467.84
  5. Step 5: Solve for x
    x = 590,866,467.84/33,830.40
  6. Step 6: Final answer
    x = 17,465.55

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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.