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Finding the Fourth Proportional to 71,620.40, 98,825.16 and 41,399.84

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Solution

The fourth proportional to 71,620.40, 98,825.16 and 41,399.84 is: 57,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,620.40 : 98,825.16 = 41,399.84 : x
  2. Step 2: Convert to fraction form
    71,620.40/98,825.16 = 41,399.84/x
  3. Step 3: Cross multiply
    71,620.40x = 98,825.16 × 41,399.84
  4. Step 4: Simplify right side
    71,620.40x = 4,091,345,811.97
  5. Step 5: Solve for x
    x = 4,091,345,811.97/71,620.40
  6. Step 6: Final answer
    x = 57,125.43

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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.