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Finding the Fourth Proportional to 123,964.02, 185,949.54 and 30,469.50

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Solution

The fourth proportional to 123,964.02, 185,949.54 and 30,469.50 is: 45,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964.02 : 185,949.54 = 30,469.50 : x
  2. Step 2: Convert to fraction form
    123,964.02/185,949.54 = 30,469.50/x
  3. Step 3: Cross multiply
    123,964.02x = 185,949.54 × 30,469.50
  4. Step 4: Simplify right side
    123,964.02x = 5,665,789,509.03
  5. Step 5: Solve for x
    x = 5,665,789,509.03/123,964.02
  6. Step 6: Final answer
    x = 45,705.11

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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.