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Finding the Fourth Proportional to 47,486.70, 71,231.25 and 16,321.74

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Solution

The fourth proportional to 47,486.70, 71,231.25 and 16,321.74 is: 24,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,486.70 : 71,231.25 = 16,321.74 : x
  2. Step 2: Convert to fraction form
    47,486.70/71,231.25 = 16,321.74/x
  3. Step 3: Cross multiply
    47,486.70x = 71,231.25 × 16,321.74
  4. Step 4: Simplify right side
    47,486.70x = 1,162,617,942.38
  5. Step 5: Solve for x
    x = 1,162,617,942.38/47,486.70
  6. Step 6: Final answer
    x = 24,483.02

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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.