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Finding the Fourth Proportional to 41,780.81, 57,658.43 and 22,917.94

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Solution

The fourth proportional to 41,780.81, 57,658.43 and 22,917.94 is: 31,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780.81 : 57,658.43 = 22,917.94 : x
  2. Step 2: Convert to fraction form
    41,780.81/57,658.43 = 22,917.94/x
  3. Step 3: Cross multiply
    41,780.81x = 57,658.43 × 22,917.94
  4. Step 4: Simplify right side
    41,780.81x = 1,321,412,352.38
  5. Step 5: Solve for x
    x = 1,321,412,352.38/41,780.81
  6. Step 6: Final answer
    x = 31,627.25

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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.