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Finding the Fourth Proportional to 172,672.75, 259,023.80 and 48,013.75

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Solution

The fourth proportional to 172,672.75, 259,023.80 and 48,013.75 is: 72,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,672.75 : 259,023.80 = 48,013.75 : x
  2. Step 2: Convert to fraction form
    172,672.75/259,023.80 = 48,013.75/x
  3. Step 3: Cross multiply
    172,672.75x = 259,023.80 × 48,013.75
  4. Step 4: Simplify right side
    172,672.75x = 12,436,703,977.25
  5. Step 5: Solve for x
    x = 12,436,703,977.25/172,672.75
  6. Step 6: Final answer
    x = 72,024.71

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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.