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Finding the Fourth Proportional to 100,651.92, 150,973.56 and 25,774.08

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Solution

The fourth proportional to 100,651.92, 150,973.56 and 25,774.08 is: 38,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,651.92 : 150,973.56 = 25,774.08 : x
  2. Step 2: Convert to fraction form
    100,651.92/150,973.56 = 25,774.08/x
  3. Step 3: Cross multiply
    100,651.92x = 150,973.56 × 25,774.08
  4. Step 4: Simplify right side
    100,651.92x = 3,891,204,613.32
  5. Step 5: Solve for x
    x = 3,891,204,613.32/100,651.92
  6. Step 6: Final answer
    x = 38,660.01

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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.