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Finding the Fourth Proportional to 100,384.44, 150,579.70 and 25,504.59

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Solution

The fourth proportional to 100,384.44, 150,579.70 and 25,504.59 is: 38,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,384.44 : 150,579.70 = 25,504.59 : x
  2. Step 2: Convert to fraction form
    100,384.44/150,579.70 = 25,504.59/x
  3. Step 3: Cross multiply
    100,384.44x = 150,579.70 × 25,504.59
  4. Step 4: Simplify right side
    100,384.44x = 3,840,474,011.74
  5. Step 5: Solve for x
    x = 3,840,474,011.74/100,384.44
  6. Step 6: Final answer
    x = 38,257.66

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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.