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Finding the Fourth Proportional to 47,906.53, 71,868.50 and 16,314.97

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Solution

The fourth proportional to 47,906.53, 71,868.50 and 16,314.97 is: 24,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,906.53 : 71,868.50 = 16,314.97 : x
  2. Step 2: Convert to fraction form
    47,906.53/71,868.50 = 16,314.97/x
  3. Step 3: Cross multiply
    47,906.53x = 71,868.50 × 16,314.97
  4. Step 4: Simplify right side
    47,906.53x = 1,172,532,421.45
  5. Step 5: Solve for x
    x = 1,172,532,421.45/47,906.53
  6. Step 6: Final answer
    x = 24,475.42

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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.