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Finding the Fourth Proportional to 41,797.68, 57,680.64 and 22,935.12

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Solution

The fourth proportional to 41,797.68, 57,680.64 and 22,935.12 is: 31,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,797.68 : 57,680.64 = 22,935.12 : x
  2. Step 2: Convert to fraction form
    41,797.68/57,680.64 = 22,935.12/x
  3. Step 3: Cross multiply
    41,797.68x = 57,680.64 × 22,935.12
  4. Step 4: Simplify right side
    41,797.68x = 1,322,912,400.08
  5. Step 5: Solve for x
    x = 1,322,912,400.08/41,797.68
  6. Step 6: Final answer
    x = 31,650.38

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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.