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Finding the Fourth Proportional to 33,646.96, 50,485.20 and 13,930

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Solution

The fourth proportional to 33,646.96, 50,485.20 and 13,930 is: 20,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,646.96 : 50,485.20 = 13,930 : x
  2. Step 2: Convert to fraction form
    33,646.96/50,485.20 = 13,930/x
  3. Step 3: Cross multiply
    33,646.96x = 50,485.20 × 13,930
  4. Step 4: Simplify right side
    33,646.96x = 703,258,836
  5. Step 5: Solve for x
    x = 703,258,836/33,646.96
  6. Step 6: Final answer
    x = 20,901.11

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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.