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Finding the Fourth Proportional to 29,064.64, 43,604.22 and 8,288.12

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Solution

The fourth proportional to 29,064.64, 43,604.22 and 8,288.12 is: 12,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,064.64 : 43,604.22 = 8,288.12 : x
  2. Step 2: Convert to fraction form
    29,064.64/43,604.22 = 8,288.12/x
  3. Step 3: Cross multiply
    29,064.64x = 43,604.22 × 8,288.12
  4. Step 4: Simplify right side
    29,064.64x = 361,397,007.87
  5. Step 5: Solve for x
    x = 361,397,007.87/29,064.64
  6. Step 6: Final answer
    x = 12,434.25

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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.