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Finding the Fourth Proportional to 33,914.60, 50,727.90 and 30,429.80

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Solution

The fourth proportional to 33,914.60, 50,727.90 and 30,429.80 is: 45,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,914.60 : 50,727.90 = 30,429.80 : x
  2. Step 2: Convert to fraction form
    33,914.60/50,727.90 = 30,429.80/x
  3. Step 3: Cross multiply
    33,914.60x = 50,727.90 × 30,429.80
  4. Step 4: Simplify right side
    33,914.60x = 1,543,639,851.42
  5. Step 5: Solve for x
    x = 1,543,639,851.42/33,914.60
  6. Step 6: Final answer
    x = 45,515.50

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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.