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Finding the Fourth Proportional to 69,773.25, 104,625.34 and 29,786

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Solution

The fourth proportional to 69,773.25, 104,625.34 and 29,786 is: 44,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,773.25 : 104,625.34 = 29,786 : x
  2. Step 2: Convert to fraction form
    69,773.25/104,625.34 = 29,786/x
  3. Step 3: Cross multiply
    69,773.25x = 104,625.34 × 29,786
  4. Step 4: Simplify right side
    69,773.25x = 3,116,370,377.24
  5. Step 5: Solve for x
    x = 3,116,370,377.24/69,773.25
  6. Step 6: Final answer
    x = 44,664.26

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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.