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Finding the Fourth Proportional to 172,671.50, 259,021.92 and 48,012.50

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Solution

The fourth proportional to 172,671.50, 259,021.92 and 48,012.50 is: 72,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,671.50 : 259,021.92 = 48,012.50 : x
  2. Step 2: Convert to fraction form
    172,671.50/259,021.92 = 48,012.50/x
  3. Step 3: Cross multiply
    172,671.50x = 259,021.92 × 48,012.50
  4. Step 4: Simplify right side
    172,671.50x = 12,436,289,934
  5. Step 5: Solve for x
    x = 12,436,289,934/172,671.50
  6. Step 6: Final answer
    x = 72,022.83

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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.