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Finding the Fourth Proportional to 128,791.73, 193,165.73 and 34,022.95

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Solution

The fourth proportional to 128,791.73, 193,165.73 and 34,022.95 is: 51,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,791.73 : 193,165.73 = 34,022.95 : x
  2. Step 2: Convert to fraction form
    128,791.73/193,165.73 = 34,022.95/x
  3. Step 3: Cross multiply
    128,791.73x = 193,165.73 × 34,022.95
  4. Step 4: Simplify right side
    128,791.73x = 6,572,067,448.06
  5. Step 5: Solve for x
    x = 6,572,067,448.06/128,791.73
  6. Step 6: Final answer
    x = 51,028.64

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Why These Related Problems?

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