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Finding the Fourth Proportional to 73,080.56, 109,640.28 and 23,162

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Solution

The fourth proportional to 73,080.56, 109,640.28 and 23,162 is: 34,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,080.56 : 109,640.28 = 23,162 : x
  2. Step 2: Convert to fraction form
    73,080.56/109,640.28 = 23,162/x
  3. Step 3: Cross multiply
    73,080.56x = 109,640.28 × 23,162
  4. Step 4: Simplify right side
    73,080.56x = 2,539,488,165.36
  5. Step 5: Solve for x
    x = 2,539,488,165.36/73,080.56
  6. Step 6: Final answer
    x = 34,749.16

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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.