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Finding the Fourth Proportional to 41,780.64, 57,656.97 and 22,917.63

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Solution

The fourth proportional to 41,780.64, 57,656.97 and 22,917.63 is: 31,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780.64 : 57,656.97 = 22,917.63 : x
  2. Step 2: Convert to fraction form
    41,780.64/57,656.97 = 22,917.63/x
  3. Step 3: Cross multiply
    41,780.64x = 57,656.97 × 22,917.63
  4. Step 4: Simplify right side
    41,780.64x = 1,321,361,105.38
  5. Step 5: Solve for x
    x = 1,321,361,105.38/41,780.64
  6. Step 6: Final answer
    x = 31,626.16

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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.