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Finding the Fourth Proportional to 84,471.89, 116,571.26 and 46,231.48

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Solution

The fourth proportional to 84,471.89, 116,571.26 and 46,231.48 is: 63,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,471.89 : 116,571.26 = 46,231.48 : x
  2. Step 2: Convert to fraction form
    84,471.89/116,571.26 = 46,231.48/x
  3. Step 3: Cross multiply
    84,471.89x = 116,571.26 × 46,231.48
  4. Step 4: Simplify right side
    84,471.89x = 5,389,261,061.25
  5. Step 5: Solve for x
    x = 5,389,261,061.25/84,471.89
  6. Step 6: Final answer
    x = 63,799.46

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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.