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Finding the Fourth Proportional to 41,922, 57,838.24 and 28,469.92

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Solution

The fourth proportional to 41,922, 57,838.24 and 28,469.92 is: 39,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,922 : 57,838.24 = 28,469.92 : x
  2. Step 2: Convert to fraction form
    41,922/57,838.24 = 28,469.92/x
  3. Step 3: Cross multiply
    41,922x = 57,838.24 × 28,469.92
  4. Step 4: Simplify right side
    41,922x = 1,646,650,065.74
  5. Step 5: Solve for x
    x = 1,646,650,065.74/41,922
  6. Step 6: Final answer
    x = 39,278.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.