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Finding the Fourth Proportional to 150,072.64, 225,042.48 and 44,872

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Solution

The fourth proportional to 150,072.64, 225,042.48 and 44,872 is: 67,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,072.64 : 225,042.48 = 44,872 : x
  2. Step 2: Convert to fraction form
    150,072.64/225,042.48 = 44,872/x
  3. Step 3: Cross multiply
    150,072.64x = 225,042.48 × 44,872
  4. Step 4: Simplify right side
    150,072.64x = 10,098,106,162.56
  5. Step 5: Solve for x
    x = 10,098,106,162.56/150,072.64
  6. Step 6: Final answer
    x = 67,288.12

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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.