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Finding the Fourth Proportional to 47,827.67, 71,740.67 and 16,662.11

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Solution

The fourth proportional to 47,827.67, 71,740.67 and 16,662.11 is: 24,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,827.67 : 71,740.67 = 16,662.11 : x
  2. Step 2: Convert to fraction form
    47,827.67/71,740.67 = 16,662.11/x
  3. Step 3: Cross multiply
    47,827.67x = 71,740.67 × 16,662.11
  4. Step 4: Simplify right side
    47,827.67x = 1,195,350,493.00
  5. Step 5: Solve for x
    x = 1,195,350,493.00/47,827.67
  6. Step 6: Final answer
    x = 24,992.87

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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.