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Finding the Fourth Proportional to 33,829.30, 50,747.15 and 9,205.30

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Solution

The fourth proportional to 33,829.30, 50,747.15 and 9,205.30 is: 13,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.30 : 50,747.15 = 9,205.30 : x
  2. Step 2: Convert to fraction form
    33,829.30/50,747.15 = 9,205.30/x
  3. Step 3: Cross multiply
    33,829.30x = 50,747.15 × 9,205.30
  4. Step 4: Simplify right side
    33,829.30x = 467,142,739.90
  5. Step 5: Solve for x
    x = 467,142,739.90/33,829.30
  6. Step 6: Final answer
    x = 13,808.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.