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Finding the Fourth Proportional to 41,513.64, 57,289.54 and 22,650.92

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Solution

The fourth proportional to 41,513.64, 57,289.54 and 22,650.92 is: 31,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,513.64 : 57,289.54 = 22,650.92 : x
  2. Step 2: Convert to fraction form
    41,513.64/57,289.54 = 22,650.92/x
  3. Step 3: Cross multiply
    41,513.64x = 57,289.54 × 22,650.92
  4. Step 4: Simplify right side
    41,513.64x = 1,297,660,787.38
  5. Step 5: Solve for x
    x = 1,297,660,787.38/41,513.64
  6. Step 6: Final answer
    x = 31,258.66

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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.