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Finding the Fourth Proportional to 83,308.26, 114,964.85 and 45,067.65

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Solution

The fourth proportional to 83,308.26, 114,964.85 and 45,067.65 is: 62,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,308.26 : 114,964.85 = 45,067.65 : x
  2. Step 2: Convert to fraction form
    83,308.26/114,964.85 = 45,067.65/x
  3. Step 3: Cross multiply
    83,308.26x = 114,964.85 × 45,067.65
  4. Step 4: Simplify right side
    83,308.26x = 5,181,195,626.99
  5. Step 5: Solve for x
    x = 5,181,195,626.99/83,308.26
  6. Step 6: Final answer
    x = 62,193.06

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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.