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Finding the Fourth Proportional to 51,759, 71,398.26 and 33,849.90

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Solution

The fourth proportional to 51,759, 71,398.26 and 33,849.90 is: 46,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,759 : 71,398.26 = 33,849.90 : x
  2. Step 2: Convert to fraction form
    51,759/71,398.26 = 33,849.90/x
  3. Step 3: Cross multiply
    51,759x = 71,398.26 × 33,849.90
  4. Step 4: Simplify right side
    51,759x = 2,416,823,961.17
  5. Step 5: Solve for x
    x = 2,416,823,961.17/51,759
  6. Step 6: Final answer
    x = 46,693.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.