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Finding the Fourth Proportional to 84,469.53, 116,534.80 and 54,250.66

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Solution

The fourth proportional to 84,469.53, 116,534.80 and 54,250.66 is: 74,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,469.53 : 116,534.80 = 54,250.66 : x
  2. Step 2: Convert to fraction form
    84,469.53/116,534.80 = 54,250.66/x
  3. Step 3: Cross multiply
    84,469.53x = 116,534.80 × 54,250.66
  4. Step 4: Simplify right side
    84,469.53x = 6,322,089,812.97
  5. Step 5: Solve for x
    x = 6,322,089,812.97/84,469.53
  6. Step 6: Final answer
    x = 74,844.62

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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.