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Finding the Fourth Proportional to 41,643.42, 57,469.29 and 22,780.56

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Solution

The fourth proportional to 41,643.42, 57,469.29 and 22,780.56 is: 31,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,643.42 : 57,469.29 = 22,780.56 : x
  2. Step 2: Convert to fraction form
    41,643.42/57,469.29 = 22,780.56/x
  3. Step 3: Cross multiply
    41,643.42x = 57,469.29 × 22,780.56
  4. Step 4: Simplify right side
    41,643.42x = 1,309,182,609.00
  5. Step 5: Solve for x
    x = 1,309,182,609.00/41,643.42
  6. Step 6: Final answer
    x = 31,437.92

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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.