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Finding the Fourth Proportional to 47,906.66, 71,870.02 and 16,314.23

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Solution

The fourth proportional to 47,906.66, 71,870.02 and 16,314.23 is: 24,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,906.66 : 71,870.02 = 16,314.23 : x
  2. Step 2: Convert to fraction form
    47,906.66/71,870.02 = 16,314.23/x
  3. Step 3: Cross multiply
    47,906.66x = 71,870.02 × 16,314.23
  4. Step 4: Simplify right side
    47,906.66x = 1,172,504,175.27
  5. Step 5: Solve for x
    x = 1,172,504,175.27/47,906.66
  6. Step 6: Final answer
    x = 24,474.76

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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.