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Finding the Fourth Proportional to 41,686.56, 57,527.58 and 22,824.90

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Solution

The fourth proportional to 41,686.56, 57,527.58 and 22,824.90 is: 31,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,686.56 : 57,527.58 = 22,824.90 : x
  2. Step 2: Convert to fraction form
    41,686.56/57,527.58 = 22,824.90/x
  3. Step 3: Cross multiply
    41,686.56x = 57,527.58 × 22,824.90
  4. Step 4: Simplify right side
    41,686.56x = 1,313,061,260.74
  5. Step 5: Solve for x
    x = 1,313,061,260.74/41,686.56
  6. Step 6: Final answer
    x = 31,498.43

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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.