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Finding the Fourth Proportional to 71,629.92, 98,805.42 and 46,170

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Solution

The fourth proportional to 71,629.92, 98,805.42 and 46,170 is: 63,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,629.92 : 98,805.42 = 46,170 : x
  2. Step 2: Convert to fraction form
    71,629.92/98,805.42 = 46,170/x
  3. Step 3: Cross multiply
    71,629.92x = 98,805.42 × 46,170
  4. Step 4: Simplify right side
    71,629.92x = 4,561,846,241.40
  5. Step 5: Solve for x
    x = 4,561,846,241.40/71,629.92
  6. Step 6: Final answer
    x = 63,686.32

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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.