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Finding the Fourth Proportional to 172,241.72, 258,367.44 and 47,582.72

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Solution

The fourth proportional to 172,241.72, 258,367.44 and 47,582.72 is: 71,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,241.72 : 258,367.44 = 47,582.72 : x
  2. Step 2: Convert to fraction form
    172,241.72/258,367.44 = 47,582.72/x
  3. Step 3: Cross multiply
    172,241.72x = 258,367.44 × 47,582.72
  4. Step 4: Simplify right side
    172,241.72x = 12,293,824,262.80
  5. Step 5: Solve for x
    x = 12,293,824,262.80/172,241.72
  6. Step 6: Final answer
    x = 71,375.42

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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.