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Finding the Fourth Proportional to 47,715.62, 71,529.68 and 16,529

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Solution

The fourth proportional to 47,715.62, 71,529.68 and 16,529 is: 24,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,715.62 : 71,529.68 = 16,529 : x
  2. Step 2: Convert to fraction form
    47,715.62/71,529.68 = 16,529/x
  3. Step 3: Cross multiply
    47,715.62x = 71,529.68 × 16,529
  4. Step 4: Simplify right side
    47,715.62x = 1,182,314,080.72
  5. Step 5: Solve for x
    x = 1,182,314,080.72/47,715.62
  6. Step 6: Final answer
    x = 24,778.34

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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.