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Finding the Fourth Proportional to 172,964, 259,446 and 41,636

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Solution

The fourth proportional to 172,964, 259,446 and 41,636 is: 62,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,964 : 259,446 = 41,636 : x
  2. Step 2: Convert to fraction form
    172,964/259,446 = 41,636/x
  3. Step 3: Cross multiply
    172,964x = 259,446 × 41,636
  4. Step 4: Simplify right side
    172,964x = 10,802,293,656
  5. Step 5: Solve for x
    x = 10,802,293,656/172,964
  6. Step 6: Final answer
    x = 62,454

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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.