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Finding the Fourth Proportional to 35,980.26, 49,608.63 and 29,584.50

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Solution

The fourth proportional to 35,980.26, 49,608.63 and 29,584.50 is: 40,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.26 : 49,608.63 = 29,584.50 : x
  2. Step 2: Convert to fraction form
    35,980.26/49,608.63 = 29,584.50/x
  3. Step 3: Cross multiply
    35,980.26x = 49,608.63 × 29,584.50
  4. Step 4: Simplify right side
    35,980.26x = 1,467,646,514.24
  5. Step 5: Solve for x
    x = 1,467,646,514.24/35,980.26
  6. Step 6: Final answer
    x = 40,790.33

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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.