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Finding the Fourth Proportional to 33,615.46, 50,437.59 and 13,908.34

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Solution

The fourth proportional to 33,615.46, 50,437.59 and 13,908.34 is: 20,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,615.46 : 50,437.59 = 13,908.34 : x
  2. Step 2: Convert to fraction form
    33,615.46/50,437.59 = 13,908.34/x
  3. Step 3: Cross multiply
    33,615.46x = 50,437.59 × 13,908.34
  4. Step 4: Simplify right side
    33,615.46x = 701,503,150.50
  5. Step 5: Solve for x
    x = 701,503,150.50/33,615.46
  6. Step 6: Final answer
    x = 20,868.47

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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.