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Finding the Fourth Proportional to 84,761.44, 116,976.26 and 47,035.69

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Solution

The fourth proportional to 84,761.44, 116,976.26 and 47,035.69 is: 64,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,761.44 : 116,976.26 = 47,035.69 : x
  2. Step 2: Convert to fraction form
    84,761.44/116,976.26 = 47,035.69/x
  3. Step 3: Cross multiply
    84,761.44x = 116,976.26 × 47,035.69
  4. Step 4: Simplify right side
    84,761.44x = 5,502,058,927.87
  5. Step 5: Solve for x
    x = 5,502,058,927.87/84,761.44
  6. Step 6: Final answer
    x = 64,912.29

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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.