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Finding the Fourth Proportional to 100,652.70, 150,998.10 and 33,188.61

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Solution

The fourth proportional to 100,652.70, 150,998.10 and 33,188.61 is: 49,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,652.70 : 150,998.10 = 33,188.61 : x
  2. Step 2: Convert to fraction form
    100,652.70/150,998.10 = 33,188.61/x
  3. Step 3: Cross multiply
    100,652.70x = 150,998.10 × 33,188.61
  4. Step 4: Simplify right side
    100,652.70x = 5,011,417,051.64
  5. Step 5: Solve for x
    x = 5,011,417,051.64/100,652.70
  6. Step 6: Final answer
    x = 49,789.20

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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.