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Finding the Fourth Proportional to 47,524.16, 71,239.20 and 22,520

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Solution

The fourth proportional to 47,524.16, 71,239.20 and 22,520 is: 33,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,524.16 : 71,239.20 = 22,520 : x
  2. Step 2: Convert to fraction form
    47,524.16/71,239.20 = 22,520/x
  3. Step 3: Cross multiply
    47,524.16x = 71,239.20 × 22,520
  4. Step 4: Simplify right side
    47,524.16x = 1,604,306,784
  5. Step 5: Solve for x
    x = 1,604,306,784/47,524.16
  6. Step 6: Final answer
    x = 33,757.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.