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Finding the Fourth Proportional to 172,503.52, 258,755.26 and 47,844.52

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Solution

The fourth proportional to 172,503.52, 258,755.26 and 47,844.52 is: 71,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,503.52 : 258,755.26 = 47,844.52 : x
  2. Step 2: Convert to fraction form
    172,503.52/258,755.26 = 47,844.52/x
  3. Step 3: Cross multiply
    172,503.52x = 258,755.26 × 47,844.52
  4. Step 4: Simplify right side
    172,503.52x = 12,380,021,212.18
  5. Step 5: Solve for x
    x = 12,380,021,212.18/172,503.52
  6. Step 6: Final answer
    x = 71,766.77

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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.