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Finding the Fourth Proportional to 33,548, 50,323.71 and 8,588.26

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Solution

The fourth proportional to 33,548, 50,323.71 and 8,588.26 is: 12,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,548 : 50,323.71 = 8,588.26 : x
  2. Step 2: Convert to fraction form
    33,548/50,323.71 = 8,588.26/x
  3. Step 3: Cross multiply
    33,548x = 50,323.71 × 8,588.26
  4. Step 4: Simplify right side
    33,548x = 432,193,105.64
  5. Step 5: Solve for x
    x = 432,193,105.64/33,548
  6. Step 6: Final answer
    x = 12,882.83

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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.