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Finding the Fourth Proportional to 41,736, 57,608.64 and 24,972.24

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Solution

The fourth proportional to 41,736, 57,608.64 and 24,972.24 is: 34,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,736 : 57,608.64 = 24,972.24 : x
  2. Step 2: Convert to fraction form
    41,736/57,608.64 = 24,972.24/x
  3. Step 3: Cross multiply
    41,736x = 57,608.64 × 24,972.24
  4. Step 4: Simplify right side
    41,736x = 1,438,616,784.15
  5. Step 5: Solve for x
    x = 1,438,616,784.15/41,736
  6. Step 6: Final answer
    x = 34,469.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.