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Finding the Fourth Proportional to 33,842, 50,767.84 and 10,470.26

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Solution

The fourth proportional to 33,842, 50,767.84 and 10,470.26 is: 15,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842 : 50,767.84 = 10,470.26 : x
  2. Step 2: Convert to fraction form
    33,842/50,767.84 = 10,470.26/x
  3. Step 3: Cross multiply
    33,842x = 50,767.84 × 10,470.26
  4. Step 4: Simplify right side
    33,842x = 531,552,484.44
  5. Step 5: Solve for x
    x = 531,552,484.44/33,842
  6. Step 6: Final answer
    x = 15,706.89

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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.