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Finding the Fourth Proportional to 71,067.32, 106,648.52 and 29,514.32

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Solution

The fourth proportional to 71,067.32, 106,648.52 and 29,514.32 is: 44,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067.32 : 106,648.52 = 29,514.32 : x
  2. Step 2: Convert to fraction form
    71,067.32/106,648.52 = 29,514.32/x
  3. Step 3: Cross multiply
    71,067.32x = 106,648.52 × 29,514.32
  4. Step 4: Simplify right side
    71,067.32x = 3,147,658,546.81
  5. Step 5: Solve for x
    x = 3,147,658,546.81/71,067.32
  6. Step 6: Final answer
    x = 44,291.22

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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.