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Finding the Fourth Proportional to 100,609.25, 150,913.80 and 25,729.47

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Solution

The fourth proportional to 100,609.25, 150,913.80 and 25,729.47 is: 38,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609.25 : 150,913.80 = 25,729.47 : x
  2. Step 2: Convert to fraction form
    100,609.25/150,913.80 = 25,729.47/x
  3. Step 3: Cross multiply
    100,609.25x = 150,913.80 × 25,729.47
  4. Step 4: Simplify right side
    100,609.25x = 3,882,932,089.69
  5. Step 5: Solve for x
    x = 3,882,932,089.69/100,609.25
  6. Step 6: Final answer
    x = 38,594.19

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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.