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Finding the Fourth Proportional to 41,433.57, 57,178.02 and 22,570.71

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Solution

The fourth proportional to 41,433.57, 57,178.02 and 22,570.71 is: 31,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,433.57 : 57,178.02 = 22,570.71 : x
  2. Step 2: Convert to fraction form
    41,433.57/57,178.02 = 22,570.71/x
  3. Step 3: Cross multiply
    41,433.57x = 57,178.02 × 22,570.71
  4. Step 4: Simplify right side
    41,433.57x = 1,290,548,507.79
  5. Step 5: Solve for x
    x = 1,290,548,507.79/41,433.57
  6. Step 6: Final answer
    x = 31,147.41

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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.