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Finding the Fourth Proportional to 47,796.12, 71,689.52 and 14,516.46

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Solution

The fourth proportional to 47,796.12, 71,689.52 and 14,516.46 is: 21,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.12 : 71,689.52 = 14,516.46 : x
  2. Step 2: Convert to fraction form
    47,796.12/71,689.52 = 14,516.46/x
  3. Step 3: Cross multiply
    47,796.12x = 71,689.52 × 14,516.46
  4. Step 4: Simplify right side
    47,796.12x = 1,040,678,049.50
  5. Step 5: Solve for x
    x = 1,040,678,049.50/47,796.12
  6. Step 6: Final answer
    x = 21,773.27

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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.