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Finding the Fourth Proportional to 29,033, 43,550.04 and 8,257.04

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Solution

The fourth proportional to 29,033, 43,550.04 and 8,257.04 is: 12,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,033 : 43,550.04 = 8,257.04 : x
  2. Step 2: Convert to fraction form
    29,033/43,550.04 = 8,257.04/x
  3. Step 3: Cross multiply
    29,033x = 43,550.04 × 8,257.04
  4. Step 4: Simplify right side
    29,033x = 359,594,422.28
  5. Step 5: Solve for x
    x = 359,594,422.28/29,033
  6. Step 6: Final answer
    x = 12,385.71

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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.