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Finding the Fourth Proportional to 33,233, 49,852.38 and 8,609

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Solution

The fourth proportional to 33,233, 49,852.38 and 8,609 is: 12,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,233 : 49,852.38 = 8,609 : x
  2. Step 2: Convert to fraction form
    33,233/49,852.38 = 8,609/x
  3. Step 3: Cross multiply
    33,233x = 49,852.38 × 8,609
  4. Step 4: Simplify right side
    33,233x = 429,179,139.42
  5. Step 5: Solve for x
    x = 429,179,139.42/33,233
  6. Step 6: Final answer
    x = 12,914.25

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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.