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Finding the Fourth Proportional to 41,920.49, 57,849.12 and 23,057.63

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Solution

The fourth proportional to 41,920.49, 57,849.12 and 23,057.63 is: 31,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920.49 : 57,849.12 = 23,057.63 : x
  2. Step 2: Convert to fraction form
    41,920.49/57,849.12 = 23,057.63/x
  3. Step 3: Cross multiply
    41,920.49x = 57,849.12 × 23,057.63
  4. Step 4: Simplify right side
    41,920.49x = 1,333,863,604.79
  5. Step 5: Solve for x
    x = 1,333,863,604.79/41,920.49
  6. Step 6: Final answer
    x = 31,818.89

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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.