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Finding the Fourth Proportional to 33,415.50, 50,084.37 and 13,670.13

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Solution

The fourth proportional to 33,415.50, 50,084.37 and 13,670.13 is: 20,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415.50 : 50,084.37 = 13,670.13 : x
  2. Step 2: Convert to fraction form
    33,415.50/50,084.37 = 13,670.13/x
  3. Step 3: Cross multiply
    33,415.50x = 50,084.37 × 13,670.13
  4. Step 4: Simplify right side
    33,415.50x = 684,659,848.87
  5. Step 5: Solve for x
    x = 684,659,848.87/33,415.50
  6. Step 6: Final answer
    x = 20,489.29

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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.