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Finding the Fourth Proportional to 71,673.93, 107,467.16 and 29,540.97

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Solution

The fourth proportional to 71,673.93, 107,467.16 and 29,540.97 is: 44,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,673.93 : 107,467.16 = 29,540.97 : x
  2. Step 2: Convert to fraction form
    71,673.93/107,467.16 = 29,540.97/x
  3. Step 3: Cross multiply
    71,673.93x = 107,467.16 × 29,540.97
  4. Step 4: Simplify right side
    71,673.93x = 3,174,684,001.84
  5. Step 5: Solve for x
    x = 3,174,684,001.84/71,673.93
  6. Step 6: Final answer
    x = 44,293.43

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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.