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Finding the Fourth Proportional to 41,506.34, 57,285.16 and 24,512.42

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Solution

The fourth proportional to 41,506.34, 57,285.16 and 24,512.42 is: 33,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,506.34 : 57,285.16 = 24,512.42 : x
  2. Step 2: Convert to fraction form
    41,506.34/57,285.16 = 24,512.42/x
  3. Step 3: Cross multiply
    41,506.34x = 57,285.16 × 24,512.42
  4. Step 4: Simplify right side
    41,506.34x = 1,404,197,553.98
  5. Step 5: Solve for x
    x = 1,404,197,553.98/41,506.34
  6. Step 6: Final answer
    x = 33,830.92

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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.