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Finding the Fourth Proportional to 29,273, 43,909.50 and 8,497.04

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Solution

The fourth proportional to 29,273, 43,909.50 and 8,497.04 is: 12,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,273 : 43,909.50 = 8,497.04 : x
  2. Step 2: Convert to fraction form
    29,273/43,909.50 = 8,497.04/x
  3. Step 3: Cross multiply
    29,273x = 43,909.50 × 8,497.04
  4. Step 4: Simplify right side
    29,273x = 373,100,777.88
  5. Step 5: Solve for x
    x = 373,100,777.88/29,273
  6. Step 6: Final answer
    x = 12,745.56

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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.