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Finding the Fourth Proportional to 100,409.67, 150,570.75 and 33,837.39

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Solution

The fourth proportional to 100,409.67, 150,570.75 and 33,837.39 is: 50,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.67 : 150,570.75 = 33,837.39 : x
  2. Step 2: Convert to fraction form
    100,409.67/150,570.75 = 33,837.39/x
  3. Step 3: Cross multiply
    100,409.67x = 150,570.75 × 33,837.39
  4. Step 4: Simplify right side
    100,409.67x = 5,094,921,190.34
  5. Step 5: Solve for x
    x = 5,094,921,190.34/100,409.67
  6. Step 6: Final answer
    x = 50,741.34

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1.5x scale

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.