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Finding the Fourth Proportional to 68,053.63, 102,080.10 and 17,452.43

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Solution

The fourth proportional to 68,053.63, 102,080.10 and 17,452.43 is: 26,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,053.63 : 102,080.10 = 17,452.43 : x
  2. Step 2: Convert to fraction form
    68,053.63/102,080.10 = 17,452.43/x
  3. Step 3: Cross multiply
    68,053.63x = 102,080.10 × 17,452.43
  4. Step 4: Simplify right side
    68,053.63x = 1,781,546,120.29
  5. Step 5: Solve for x
    x = 1,781,546,120.29/68,053.63
  6. Step 6: Final answer
    x = 26,178.56

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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.