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Finding the Fourth Proportional to 36,180.66, 49,929.31 and 22,033.50

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Solution

The fourth proportional to 36,180.66, 49,929.31 and 22,033.50 is: 30,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180.66 : 49,929.31 = 22,033.50 : x
  2. Step 2: Convert to fraction form
    36,180.66/49,929.31 = 22,033.50/x
  3. Step 3: Cross multiply
    36,180.66x = 49,929.31 × 22,033.50
  4. Step 4: Simplify right side
    36,180.66x = 1,100,117,590.85
  5. Step 5: Solve for x
    x = 1,100,117,590.85/36,180.66
  6. Step 6: Final answer
    x = 30,406.23

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