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Finding the Fourth Proportional to 103,546.50, 155,319.78 and 33,436.14

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Solution

The fourth proportional to 103,546.50, 155,319.78 and 33,436.14 is: 50,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,546.50 : 155,319.78 = 33,436.14 : x
  2. Step 2: Convert to fraction form
    103,546.50/155,319.78 = 33,436.14/x
  3. Step 3: Cross multiply
    103,546.50x = 155,319.78 × 33,436.14
  4. Step 4: Simplify right side
    103,546.50x = 5,193,293,908.85
  5. Step 5: Solve for x
    x = 5,193,293,908.85/103,546.50
  6. Step 6: Final answer
    x = 50,154.22

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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.