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Finding the Fourth Proportional to 111,419.16, 167,112.30 and 32,512.20

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Solution

The fourth proportional to 111,419.16, 167,112.30 and 32,512.20 is: 48,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,419.16 : 167,112.30 = 32,512.20 : x
  2. Step 2: Convert to fraction form
    111,419.16/167,112.30 = 32,512.20/x
  3. Step 3: Cross multiply
    111,419.16x = 167,112.30 × 32,512.20
  4. Step 4: Simplify right side
    111,419.16x = 5,433,188,520.06
  5. Step 5: Solve for x
    x = 5,433,188,520.06/111,419.16
  6. Step 6: Final answer
    x = 48,763.50

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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.