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Finding the Fourth Proportional to 100,528.62, 150,794.10 and 25,648.62

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Solution

The fourth proportional to 100,528.62, 150,794.10 and 25,648.62 is: 38,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,528.62 : 150,794.10 = 25,648.62 : x
  2. Step 2: Convert to fraction form
    100,528.62/150,794.10 = 25,648.62/x
  3. Step 3: Cross multiply
    100,528.62x = 150,794.10 × 25,648.62
  4. Step 4: Simplify right side
    100,528.62x = 3,867,660,569.14
  5. Step 5: Solve for x
    x = 3,867,660,569.14/100,528.62
  6. Step 6: Final answer
    x = 38,473.23

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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.