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Finding the Fourth Proportional to 71,732.31, 98,984.46 and 41,519.51

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Solution

The fourth proportional to 71,732.31, 98,984.46 and 41,519.51 is: 57,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,732.31 : 98,984.46 = 41,519.51 : x
  2. Step 2: Convert to fraction form
    71,732.31/98,984.46 = 41,519.51/x
  3. Step 3: Cross multiply
    71,732.31x = 98,984.46 × 41,519.51
  4. Step 4: Simplify right side
    71,732.31x = 4,109,786,236.86
  5. Step 5: Solve for x
    x = 4,109,786,236.86/71,732.31
  6. Step 6: Final answer
    x = 57,293.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.