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Finding the Fourth Proportional to 111,138.30, 166,733.46 and 32,254.02

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Solution

The fourth proportional to 111,138.30, 166,733.46 and 32,254.02 is: 48,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,138.30 : 166,733.46 = 32,254.02 : x
  2. Step 2: Convert to fraction form
    111,138.30/166,733.46 = 32,254.02/x
  3. Step 3: Cross multiply
    111,138.30x = 166,733.46 × 32,254.02
  4. Step 4: Simplify right side
    111,138.30x = 5,377,824,353.51
  5. Step 5: Solve for x
    x = 5,377,824,353.51/111,138.30
  6. Step 6: Final answer
    x = 48,388.58

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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.