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Finding the Fourth Proportional to 84,950, 127,425 and 29,546

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Solution

The fourth proportional to 84,950, 127,425 and 29,546 is: 44,319

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,950 : 127,425 = 29,546 : x
  2. Step 2: Convert to fraction form
    84,950/127,425 = 29,546/x
  3. Step 3: Cross multiply
    84,950x = 127,425 × 29,546
  4. Step 4: Simplify right side
    84,950x = 3,764,899,050
  5. Step 5: Solve for x
    x = 3,764,899,050/84,950
  6. Step 6: Final answer
    x = 44,319

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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.