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Finding the Fourth Proportional to 33,374.16, 50,063.76 and 13,662

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Solution

The fourth proportional to 33,374.16, 50,063.76 and 13,662 is: 20,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,374.16 : 50,063.76 = 13,662 : x
  2. Step 2: Convert to fraction form
    33,374.16/50,063.76 = 13,662/x
  3. Step 3: Cross multiply
    33,374.16x = 50,063.76 × 13,662
  4. Step 4: Simplify right side
    33,374.16x = 683,971,089.12
  5. Step 5: Solve for x
    x = 683,971,089.12/33,374.16
  6. Step 6: Final answer
    x = 20,494.03

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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.