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Finding the Fourth Proportional to 71,628.68, 98,841.80 and 41,415.96

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Solution

The fourth proportional to 71,628.68, 98,841.80 and 41,415.96 is: 57,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,628.68 : 98,841.80 = 41,415.96 : x
  2. Step 2: Convert to fraction form
    71,628.68/98,841.80 = 41,415.96/x
  3. Step 3: Cross multiply
    71,628.68x = 98,841.80 × 41,415.96
  4. Step 4: Simplify right side
    71,628.68x = 4,093,628,035.13
  5. Step 5: Solve for x
    x = 4,093,628,035.13/71,628.68
  6. Step 6: Final answer
    x = 57,150.68

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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.