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Finding the Fourth Proportional to 172,910, 259,365 and 41,582

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Solution

The fourth proportional to 172,910, 259,365 and 41,582 is: 62,373

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,910 : 259,365 = 41,582 : x
  2. Step 2: Convert to fraction form
    172,910/259,365 = 41,582/x
  3. Step 3: Cross multiply
    172,910x = 259,365 × 41,582
  4. Step 4: Simplify right side
    172,910x = 10,784,915,430
  5. Step 5: Solve for x
    x = 10,784,915,430/172,910
  6. Step 6: Final answer
    x = 62,373

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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.