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Finding the Fourth Proportional to 47,644.34, 71,416.09 and 16,024.30

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Solution

The fourth proportional to 47,644.34, 71,416.09 and 16,024.30 is: 24,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644.34 : 71,416.09 = 16,024.30 : x
  2. Step 2: Convert to fraction form
    47,644.34/71,416.09 = 16,024.30/x
  3. Step 3: Cross multiply
    47,644.34x = 71,416.09 × 16,024.30
  4. Step 4: Simplify right side
    47,644.34x = 1,144,392,850.99
  5. Step 5: Solve for x
    x = 1,144,392,850.99/47,644.34
  6. Step 6: Final answer
    x = 24,019.49

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Why These Related Problems?

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