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Finding the Fourth Proportional to 172,857, 259,285.50 and 41,529

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Solution

The fourth proportional to 172,857, 259,285.50 and 41,529 is: 62,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,857 : 259,285.50 = 41,529 : x
  2. Step 2: Convert to fraction form
    172,857/259,285.50 = 41,529/x
  3. Step 3: Cross multiply
    172,857x = 259,285.50 × 41,529
  4. Step 4: Simplify right side
    172,857x = 10,767,867,529.50
  5. Step 5: Solve for x
    x = 10,767,867,529.50/172,857
  6. Step 6: Final answer
    x = 62,293.50

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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.