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Finding the Fourth Proportional to 33,219, 49,828.68 and 8,595

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Solution

The fourth proportional to 33,219, 49,828.68 and 8,595 is: 12,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219 : 49,828.68 = 8,595 : x
  2. Step 2: Convert to fraction form
    33,219/49,828.68 = 8,595/x
  3. Step 3: Cross multiply
    33,219x = 49,828.68 × 8,595
  4. Step 4: Simplify right side
    33,219x = 428,277,504.60
  5. Step 5: Solve for x
    x = 428,277,504.60/33,219
  6. Step 6: Final answer
    x = 12,892.55

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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.