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Finding the Fourth Proportional to 123,905.81, 185,858.86 and 33,949.29

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Solution

The fourth proportional to 123,905.81, 185,858.86 and 33,949.29 is: 50,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,905.81 : 185,858.86 = 33,949.29 : x
  2. Step 2: Convert to fraction form
    123,905.81/185,858.86 = 33,949.29/x
  3. Step 3: Cross multiply
    123,905.81x = 185,858.86 × 33,949.29
  4. Step 4: Simplify right side
    123,905.81x = 6,309,776,337.21
  5. Step 5: Solve for x
    x = 6,309,776,337.21/123,905.81
  6. Step 6: Final answer
    x = 50,923.97

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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.