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Finding the Fourth Proportional to 31,288.92, 46,923.78 and 17,055

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Solution

The fourth proportional to 31,288.92, 46,923.78 and 17,055 is: 25,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.92 : 46,923.78 = 17,055 : x
  2. Step 2: Convert to fraction form
    31,288.92/46,923.78 = 17,055/x
  3. Step 3: Cross multiply
    31,288.92x = 46,923.78 × 17,055
  4. Step 4: Simplify right side
    31,288.92x = 800,285,067.90
  5. Step 5: Solve for x
    x = 800,285,067.90/31,288.92
  6. Step 6: Final answer
    x = 25,577.27

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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.