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Finding the Fourth Proportional to 111,419.66, 167,113.05 and 32,512.70

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Solution

The fourth proportional to 111,419.66, 167,113.05 and 32,512.70 is: 48,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,419.66 : 167,113.05 = 32,512.70 : x
  2. Step 2: Convert to fraction form
    111,419.66/167,113.05 = 32,512.70/x
  3. Step 3: Cross multiply
    111,419.66x = 167,113.05 × 32,512.70
  4. Step 4: Simplify right side
    111,419.66x = 5,433,296,460.74
  5. Step 5: Solve for x
    x = 5,433,296,460.74/111,419.66
  6. Step 6: Final answer
    x = 48,764.25

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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.