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Finding the Fourth Proportional to 33,388.29, 50,084.10 and 10,012.50

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Solution

The fourth proportional to 33,388.29, 50,084.10 and 10,012.50 is: 15,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,388.29 : 50,084.10 = 10,012.50 : x
  2. Step 2: Convert to fraction form
    33,388.29/50,084.10 = 10,012.50/x
  3. Step 3: Cross multiply
    33,388.29x = 50,084.10 × 10,012.50
  4. Step 4: Simplify right side
    33,388.29x = 501,467,051.25
  5. Step 5: Solve for x
    x = 501,467,051.25/33,388.29
  6. Step 6: Final answer
    x = 15,019.25

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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.