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Finding the Fourth Proportional to 33,905.30, 50,852.14 and 8,945.60

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Solution

The fourth proportional to 33,905.30, 50,852.14 and 8,945.60 is: 13,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,905.30 : 50,852.14 = 8,945.60 : x
  2. Step 2: Convert to fraction form
    33,905.30/50,852.14 = 8,945.60/x
  3. Step 3: Cross multiply
    33,905.30x = 50,852.14 × 8,945.60
  4. Step 4: Simplify right side
    33,905.30x = 454,903,008.35
  5. Step 5: Solve for x
    x = 454,903,008.35/33,905.30
  6. Step 6: Final answer
    x = 13,416.87

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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.