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Finding the Fourth Proportional to 41,456, 57,209.52 and 22,594.40

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Solution

The fourth proportional to 41,456, 57,209.52 and 22,594.40 is: 31,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,456 : 57,209.52 = 22,594.40 : x
  2. Step 2: Convert to fraction form
    41,456/57,209.52 = 22,594.40/x
  3. Step 3: Cross multiply
    41,456x = 57,209.52 × 22,594.40
  4. Step 4: Simplify right side
    41,456x = 1,292,614,778.69
  5. Step 5: Solve for x
    x = 1,292,614,778.69/41,456
  6. Step 6: Final answer
    x = 31,180.40

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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.