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Finding the Fourth Proportional to 71,571.68, 98,771.76 and 41,356

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Solution

The fourth proportional to 71,571.68, 98,771.76 and 41,356 is: 57,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,571.68 : 98,771.76 = 41,356 : x
  2. Step 2: Convert to fraction form
    71,571.68/98,771.76 = 41,356/x
  3. Step 3: Cross multiply
    71,571.68x = 98,771.76 × 41,356
  4. Step 4: Simplify right side
    71,571.68x = 4,084,804,906.56
  5. Step 5: Solve for x
    x = 4,084,804,906.56/71,571.68
  6. Step 6: Final answer
    x = 57,072.92

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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.