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Finding the Fourth Proportional to 100,544.90, 150,814.91 and 25,665.66

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Solution

The fourth proportional to 100,544.90, 150,814.91 and 25,665.66 is: 38,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,544.90 : 150,814.91 = 25,665.66 : x
  2. Step 2: Convert to fraction form
    100,544.90/150,814.91 = 25,665.66/x
  3. Step 3: Cross multiply
    100,544.90x = 150,814.91 × 25,665.66
  4. Step 4: Simplify right side
    100,544.90x = 3,870,764,267.15
  5. Step 5: Solve for x
    x = 3,870,764,267.15/100,544.90
  6. Step 6: Final answer
    x = 38,497.87

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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.