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Finding the Fourth Proportional to 111,475.92, 167,214 and 32,588.40

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Solution

The fourth proportional to 111,475.92, 167,214 and 32,588.40 is: 48,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,475.92 : 167,214 = 32,588.40 : x
  2. Step 2: Convert to fraction form
    111,475.92/167,214 = 32,588.40/x
  3. Step 3: Cross multiply
    111,475.92x = 167,214 × 32,588.40
  4. Step 4: Simplify right side
    111,475.92x = 5,449,236,717.60
  5. Step 5: Solve for x
    x = 5,449,236,717.60/111,475.92
  6. Step 6: Final answer
    x = 48,882.64

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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.