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Finding the Fourth Proportional to 75,192, 112,788 and 25,944

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Solution

The fourth proportional to 75,192, 112,788 and 25,944 is: 38,916

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,192 : 112,788 = 25,944 : x
  2. Step 2: Convert to fraction form
    75,192/112,788 = 25,944/x
  3. Step 3: Cross multiply
    75,192x = 112,788 × 25,944
  4. Step 4: Simplify right side
    75,192x = 2,926,171,872
  5. Step 5: Solve for x
    x = 2,926,171,872/75,192
  6. Step 6: Final answer
    x = 38,916

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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.