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Finding the Fourth Proportional to 30,879.97, 46,209.23 and 26,734.24

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Solution

The fourth proportional to 30,879.97, 46,209.23 and 26,734.24 is: 40,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879.97 : 46,209.23 = 26,734.24 : x
  2. Step 2: Convert to fraction form
    30,879.97/46,209.23 = 26,734.24/x
  3. Step 3: Cross multiply
    30,879.97x = 46,209.23 × 26,734.24
  4. Step 4: Simplify right side
    30,879.97x = 1,235,368,711.87
  5. Step 5: Solve for x
    x = 1,235,368,711.87/30,879.97
  6. Step 6: Final answer
    x = 40,005.50

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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.