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Finding the Fourth Proportional to 33,829.80, 50,744.70 and 9,205.80

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Solution

The fourth proportional to 33,829.80, 50,744.70 and 9,205.80 is: 13,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.80 : 50,744.70 = 9,205.80 : x
  2. Step 2: Convert to fraction form
    33,829.80/50,744.70 = 9,205.80/x
  3. Step 3: Cross multiply
    33,829.80x = 50,744.70 × 9,205.80
  4. Step 4: Simplify right side
    33,829.80x = 467,145,559.26
  5. Step 5: Solve for x
    x = 467,145,559.26/33,829.80
  6. Step 6: Final answer
    x = 13,808.70

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1.5x scale

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.