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Finding the Fourth Proportional to 41,902.60, 57,824.64 and 22,782.10

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Solution

The fourth proportional to 41,902.60, 57,824.64 and 22,782.10 is: 31,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,902.60 : 57,824.64 = 22,782.10 : x
  2. Step 2: Convert to fraction form
    41,902.60/57,824.64 = 22,782.10/x
  3. Step 3: Cross multiply
    41,902.60x = 57,824.64 × 22,782.10
  4. Step 4: Simplify right side
    41,902.60x = 1,317,366,730.94
  5. Step 5: Solve for x
    x = 1,317,366,730.94/41,902.60
  6. Step 6: Final answer
    x = 31,438.78

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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.