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Finding the Fourth Proportional to 33,714.40, 50,456.40 and 29,567.20

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Solution

The fourth proportional to 33,714.40, 50,456.40 and 29,567.20 is: 44,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.40 : 50,456.40 = 29,567.20 : x
  2. Step 2: Convert to fraction form
    33,714.40/50,456.40 = 29,567.20/x
  3. Step 3: Cross multiply
    33,714.40x = 50,456.40 × 29,567.20
  4. Step 4: Simplify right side
    33,714.40x = 1,491,854,470.08
  5. Step 5: Solve for x
    x = 1,491,854,470.08/33,714.40
  6. Step 6: Final answer
    x = 44,249.77

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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.