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Finding the Fourth Proportional to 100,713.96, 151,076.46 and 33,243.24

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Solution

The fourth proportional to 100,713.96, 151,076.46 and 33,243.24 is: 49,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,713.96 : 151,076.46 = 33,243.24 : x
  2. Step 2: Convert to fraction form
    100,713.96/151,076.46 = 33,243.24/x
  3. Step 3: Cross multiply
    100,713.96x = 151,076.46 × 33,243.24
  4. Step 4: Simplify right side
    100,713.96x = 5,022,271,018.13
  5. Step 5: Solve for x
    x = 5,022,271,018.13/100,713.96
  6. Step 6: Final answer
    x = 49,866.68

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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.