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Finding the Fourth Proportional to 47,796.15, 71,701.11 and 16,209

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Solution

The fourth proportional to 47,796.15, 71,701.11 and 16,209 is: 24,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.15 : 71,701.11 = 16,209 : x
  2. Step 2: Convert to fraction form
    47,796.15/71,701.11 = 16,209/x
  3. Step 3: Cross multiply
    47,796.15x = 71,701.11 × 16,209
  4. Step 4: Simplify right side
    47,796.15x = 1,162,203,291.99
  5. Step 5: Solve for x
    x = 1,162,203,291.99/47,796.15
  6. Step 6: Final answer
    x = 24,315.83

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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.