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Finding the Fourth Proportional to 34,055.38, 46,969.79 and 22,122.57

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Solution

The fourth proportional to 34,055.38, 46,969.79 and 22,122.57 is: 30,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,055.38 : 46,969.79 = 22,122.57 : x
  2. Step 2: Convert to fraction form
    34,055.38/46,969.79 = 22,122.57/x
  3. Step 3: Cross multiply
    34,055.38x = 46,969.79 × 22,122.57
  4. Step 4: Simplify right side
    34,055.38x = 1,039,092,121.70
  5. Step 5: Solve for x
    x = 1,039,092,121.70/34,055.38
  6. Step 6: Final answer
    x = 30,511.83

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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.