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Finding the Fourth Proportional to 96,922, 145,383 and 25,844.88

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Solution

The fourth proportional to 96,922, 145,383 and 25,844.88 is: 38,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,922 : 145,383 = 25,844.88 : x
  2. Step 2: Convert to fraction form
    96,922/145,383 = 25,844.88/x
  3. Step 3: Cross multiply
    96,922x = 145,383 × 25,844.88
  4. Step 4: Simplify right side
    96,922x = 3,757,406,189.04
  5. Step 5: Solve for x
    x = 3,757,406,189.04/96,922
  6. Step 6: Final answer
    x = 38,767.32

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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.