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Finding the Fourth Proportional to 100,461.78, 150,596.82 and 33,867.54

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Solution

The fourth proportional to 100,461.78, 150,596.82 and 33,867.54 is: 50,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461.78 : 150,596.82 = 33,867.54 : x
  2. Step 2: Convert to fraction form
    100,461.78/150,596.82 = 33,867.54/x
  3. Step 3: Cross multiply
    100,461.78x = 150,596.82 × 33,867.54
  4. Step 4: Simplify right side
    100,461.78x = 5,100,343,825.22
  5. Step 5: Solve for x
    x = 5,100,343,825.22/100,461.78
  6. Step 6: Final answer
    x = 50,769.00

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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.