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Finding the Fourth Proportional to 100,274.76, 150,424.56 and 33,721.92

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Solution

The fourth proportional to 100,274.76, 150,424.56 and 33,721.92 is: 50,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274.76 : 150,424.56 = 33,721.92 : x
  2. Step 2: Convert to fraction form
    100,274.76/150,424.56 = 33,721.92/x
  3. Step 3: Cross multiply
    100,274.76x = 150,424.56 × 33,721.92
  4. Step 4: Simplify right side
    100,274.76x = 5,072,604,978.36
  5. Step 5: Solve for x
    x = 5,072,604,978.36/100,274.76
  6. Step 6: Final answer
    x = 50,587.06

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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.