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Finding the Fourth Proportional to 111,419.54, 167,112.86 and 32,512.58

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Solution

The fourth proportional to 111,419.54, 167,112.86 and 32,512.58 is: 48,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,419.54 : 167,112.86 = 32,512.58 : x
  2. Step 2: Convert to fraction form
    111,419.54/167,112.86 = 32,512.58/x
  3. Step 3: Cross multiply
    111,419.54x = 167,112.86 × 32,512.58
  4. Step 4: Simplify right side
    111,419.54x = 5,433,269,475.50
  5. Step 5: Solve for x
    x = 5,433,269,475.50/111,419.54
  6. Step 6: Final answer
    x = 48,764.07

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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.