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Finding the Fourth Proportional to 100,828.02, 151,209.78 and 33,347.52

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Solution

The fourth proportional to 100,828.02, 151,209.78 and 33,347.52 is: 50,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,828.02 : 151,209.78 = 33,347.52 : x
  2. Step 2: Convert to fraction form
    100,828.02/151,209.78 = 33,347.52/x
  3. Step 3: Cross multiply
    100,828.02x = 151,209.78 × 33,347.52
  4. Step 4: Simplify right side
    100,828.02x = 5,042,471,162.75
  5. Step 5: Solve for x
    x = 5,042,471,162.75/100,828.02
  6. Step 6: Final answer
    x = 50,010.61

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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.