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Finding the Fourth Proportional to 33,273, 49,909.50 and 8,649

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Solution

The fourth proportional to 33,273, 49,909.50 and 8,649 is: 12,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,273 : 49,909.50 = 8,649 : x
  2. Step 2: Convert to fraction form
    33,273/49,909.50 = 8,649/x
  3. Step 3: Cross multiply
    33,273x = 49,909.50 × 8,649
  4. Step 4: Simplify right side
    33,273x = 431,667,265.50
  5. Step 5: Solve for x
    x = 431,667,265.50/33,273
  6. Step 6: Final answer
    x = 12,973.50

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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.