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Finding the Fourth Proportional to 100,652.95, 150,998.46 and 33,188.86

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Solution

The fourth proportional to 100,652.95, 150,998.46 and 33,188.86 is: 49,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,652.95 : 150,998.46 = 33,188.86 : x
  2. Step 2: Convert to fraction form
    100,652.95/150,998.46 = 33,188.86/x
  3. Step 3: Cross multiply
    100,652.95x = 150,998.46 × 33,188.86
  4. Step 4: Simplify right side
    100,652.95x = 5,011,466,749.16
  5. Step 5: Solve for x
    x = 5,011,466,749.16/100,652.95
  6. Step 6: Final answer
    x = 49,789.57

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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.