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Finding the Fourth Proportional to 34,028.92, 46,958.70 and 19,891

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Solution

The fourth proportional to 34,028.92, 46,958.70 and 19,891 is: 27,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,028.92 : 46,958.70 = 19,891 : x
  2. Step 2: Convert to fraction form
    34,028.92/46,958.70 = 19,891/x
  3. Step 3: Cross multiply
    34,028.92x = 46,958.70 × 19,891
  4. Step 4: Simplify right side
    34,028.92x = 934,055,501.70
  5. Step 5: Solve for x
    x = 934,055,501.70/34,028.92
  6. Step 6: Final answer
    x = 27,448.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.