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Finding the Fourth Proportional to 82,914.54, 114,440.52 and 52,693.96

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Solution

The fourth proportional to 82,914.54, 114,440.52 and 52,693.96 is: 72,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.54 : 114,440.52 = 52,693.96 : x
  2. Step 2: Convert to fraction form
    82,914.54/114,440.52 = 52,693.96/x
  3. Step 3: Cross multiply
    82,914.54x = 114,440.52 × 52,693.96
  4. Step 4: Simplify right side
    82,914.54x = 6,030,324,183.26
  5. Step 5: Solve for x
    x = 6,030,324,183.26/82,914.54
  6. Step 6: Final answer
    x = 72,729.39

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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.