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Finding the Fourth Proportional to 100,825.88, 151,261.61 and 33,357.76

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Solution

The fourth proportional to 100,825.88, 151,261.61 and 33,357.76 is: 50,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,825.88 : 151,261.61 = 33,357.76 : x
  2. Step 2: Convert to fraction form
    100,825.88/151,261.61 = 33,357.76/x
  3. Step 3: Cross multiply
    100,825.88x = 151,261.61 × 33,357.76
  4. Step 4: Simplify right side
    100,825.88x = 5,045,747,736.86
  5. Step 5: Solve for x
    x = 5,045,747,736.86/100,825.88
  6. Step 6: Final answer
    x = 50,044.17

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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.