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Finding the Fourth Proportional to 100,456.63, 150,580.15 and 33,873.86

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Solution

The fourth proportional to 100,456.63, 150,580.15 and 33,873.86 is: 50,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,456.63 : 150,580.15 = 33,873.86 : x
  2. Step 2: Convert to fraction form
    100,456.63/150,580.15 = 33,873.86/x
  3. Step 3: Cross multiply
    100,456.63x = 150,580.15 × 33,873.86
  4. Step 4: Simplify right side
    100,456.63x = 5,100,731,211.64
  5. Step 5: Solve for x
    x = 5,100,731,211.64/100,456.63
  6. Step 6: Final answer
    x = 50,775.46

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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.