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Finding the Fourth Proportional to 71,941.70, 107,924.88 and 22,020.56

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Solution

The fourth proportional to 71,941.70, 107,924.88 and 22,020.56 is: 33,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,941.70 : 107,924.88 = 22,020.56 : x
  2. Step 2: Convert to fraction form
    71,941.70/107,924.88 = 22,020.56/x
  3. Step 3: Cross multiply
    71,941.70x = 107,924.88 × 22,020.56
  4. Step 4: Simplify right side
    71,941.70x = 2,376,566,295.53
  5. Step 5: Solve for x
    x = 2,376,566,295.53/71,941.70
  6. Step 6: Final answer
    x = 33,034.61

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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.