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Finding the Fourth Proportional to 84,866, 127,299 and 29,462

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Solution

The fourth proportional to 84,866, 127,299 and 29,462 is: 44,193

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,866 : 127,299 = 29,462 : x
  2. Step 2: Convert to fraction form
    84,866/127,299 = 29,462/x
  3. Step 3: Cross multiply
    84,866x = 127,299 × 29,462
  4. Step 4: Simplify right side
    84,866x = 3,750,483,138
  5. Step 5: Solve for x
    x = 3,750,483,138/84,866
  6. Step 6: Final answer
    x = 44,193

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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.