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Finding the Fourth Proportional to 41,824.94, 57,718.52 and 22,963.28

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Solution

The fourth proportional to 41,824.94, 57,718.52 and 22,963.28 is: 31,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,824.94 : 57,718.52 = 22,963.28 : x
  2. Step 2: Convert to fraction form
    41,824.94/57,718.52 = 22,963.28/x
  3. Step 3: Cross multiply
    41,824.94x = 57,718.52 × 22,963.28
  4. Step 4: Simplify right side
    41,824.94x = 1,325,406,132.54
  5. Step 5: Solve for x
    x = 1,325,406,132.54/41,824.94
  6. Step 6: Final answer
    x = 31,689.38

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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.