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Finding the Fourth Proportional to 111,702.70, 167,558.10 and 32,824.90

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Solution

The fourth proportional to 111,702.70, 167,558.10 and 32,824.90 is: 49,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,702.70 : 167,558.10 = 32,824.90 : x
  2. Step 2: Convert to fraction form
    111,702.70/167,558.10 = 32,824.90/x
  3. Step 3: Cross multiply
    111,702.70x = 167,558.10 × 32,824.90
  4. Step 4: Simplify right side
    111,702.70x = 5,500,077,876.69
  5. Step 5: Solve for x
    x = 5,500,077,876.69/111,702.70
  6. Step 6: Final answer
    x = 49,238.54

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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.