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Finding the Fourth Proportional to 41,645.64, 57,471.04 and 22,782.76

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Solution

The fourth proportional to 41,645.64, 57,471.04 and 22,782.76 is: 31,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,645.64 : 57,471.04 = 22,782.76 : x
  2. Step 2: Convert to fraction form
    41,645.64/57,471.04 = 22,782.76/x
  3. Step 3: Cross multiply
    41,645.64x = 57,471.04 × 22,782.76
  4. Step 4: Simplify right side
    41,645.64x = 1,309,348,911.27
  5. Step 5: Solve for x
    x = 1,309,348,911.27/41,645.64
  6. Step 6: Final answer
    x = 31,440.24

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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.