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Finding the Fourth Proportional to 71,652.82, 98,873.02 and 41,433.56

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Solution

The fourth proportional to 71,652.82, 98,873.02 and 41,433.56 is: 57,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,652.82 : 98,873.02 = 41,433.56 : x
  2. Step 2: Convert to fraction form
    71,652.82/98,873.02 = 41,433.56/x
  3. Step 3: Cross multiply
    71,652.82x = 98,873.02 × 41,433.56
  4. Step 4: Simplify right side
    71,652.82x = 4,096,661,206.55
  5. Step 5: Solve for x
    x = 4,096,661,206.55/71,652.82
  6. Step 6: Final answer
    x = 57,173.76

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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.