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Finding the Fourth Proportional to 71,543.21, 98,734.10 and 41,329.80

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Solution

The fourth proportional to 71,543.21, 98,734.10 and 41,329.80 is: 57,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543.21 : 98,734.10 = 41,329.80 : x
  2. Step 2: Convert to fraction form
    71,543.21/98,734.10 = 41,329.80/x
  3. Step 3: Cross multiply
    71,543.21x = 98,734.10 × 41,329.80
  4. Step 4: Simplify right side
    71,543.21x = 4,080,660,399.53
  5. Step 5: Solve for x
    x = 4,080,660,399.53/71,543.21
  6. Step 6: Final answer
    x = 57,037.71

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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.