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Finding the Fourth Proportional to 110,702.72, 166,052.64 and 27,597.44

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Solution

The fourth proportional to 110,702.72, 166,052.64 and 27,597.44 is: 41,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,702.72 : 166,052.64 = 27,597.44 : x
  2. Step 2: Convert to fraction form
    110,702.72/166,052.64 = 27,597.44/x
  3. Step 3: Cross multiply
    110,702.72x = 166,052.64 × 27,597.44
  4. Step 4: Simplify right side
    110,702.72x = 4,582,627,769.24
  5. Step 5: Solve for x
    x = 4,582,627,769.24/110,702.72
  6. Step 6: Final answer
    x = 41,395.80

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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.