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Finding the Fourth Proportional to 100,713.38, 151,039.14 and 33,232.94

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Solution

The fourth proportional to 100,713.38, 151,039.14 and 33,232.94 is: 49,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,713.38 : 151,039.14 = 33,232.94 : x
  2. Step 2: Convert to fraction form
    100,713.38/151,039.14 = 33,232.94/x
  3. Step 3: Cross multiply
    100,713.38x = 151,039.14 × 33,232.94
  4. Step 4: Simplify right side
    100,713.38x = 5,019,474,677.27
  5. Step 5: Solve for x
    x = 5,019,474,677.27/100,713.38
  6. Step 6: Final answer
    x = 49,839.20

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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.