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Finding the Fourth Proportional to 80,974.01, 111,744.14 and 45,164.04

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Solution

The fourth proportional to 80,974.01, 111,744.14 and 45,164.04 is: 62,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,974.01 : 111,744.14 = 45,164.04 : x
  2. Step 2: Convert to fraction form
    80,974.01/111,744.14 = 45,164.04/x
  3. Step 3: Cross multiply
    80,974.01x = 111,744.14 × 45,164.04
  4. Step 4: Simplify right side
    80,974.01x = 5,046,816,582.91
  5. Step 5: Solve for x
    x = 5,046,816,582.91/80,974.01
  6. Step 6: Final answer
    x = 62,326.38

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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.