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Finding the Fourth Proportional to 29,107.91, 43,654.87 and 8,047.48

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Solution

The fourth proportional to 29,107.91, 43,654.87 and 8,047.48 is: 12,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,107.91 : 43,654.87 = 8,047.48 : x
  2. Step 2: Convert to fraction form
    29,107.91/43,654.87 = 8,047.48/x
  3. Step 3: Cross multiply
    29,107.91x = 43,654.87 × 8,047.48
  4. Step 4: Simplify right side
    29,107.91x = 351,311,575.86
  5. Step 5: Solve for x
    x = 351,311,575.86/29,107.91
  6. Step 6: Final answer
    x = 12,069.28

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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.