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Finding the Fourth Proportional to 41,813.94, 57,684.42 and 24,818.90

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Solution

The fourth proportional to 41,813.94, 57,684.42 and 24,818.90 is: 34,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,813.94 : 57,684.42 = 24,818.90 : x
  2. Step 2: Convert to fraction form
    41,813.94/57,684.42 = 24,818.90/x
  3. Step 3: Cross multiply
    41,813.94x = 57,684.42 × 24,818.90
  4. Step 4: Simplify right side
    41,813.94x = 1,431,663,851.54
  5. Step 5: Solve for x
    x = 1,431,663,851.54/41,813.94
  6. Step 6: Final answer
    x = 34,238.91

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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.