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Finding the Fourth Proportional to 33,632, 50,443.48 and 13,907.84

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Solution

The fourth proportional to 33,632, 50,443.48 and 13,907.84 is: 20,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632 : 50,443.48 = 13,907.84 : x
  2. Step 2: Convert to fraction form
    33,632/50,443.48 = 13,907.84/x
  3. Step 3: Cross multiply
    33,632x = 50,443.48 × 13,907.84
  4. Step 4: Simplify right side
    33,632x = 701,559,848.88
  5. Step 5: Solve for x
    x = 701,559,848.88/33,632
  6. Step 6: Final answer
    x = 20,859.89

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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.