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Finding the Fourth Proportional to 75,194, 112,791 and 25,946

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Solution

The fourth proportional to 75,194, 112,791 and 25,946 is: 38,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,194 : 112,791 = 25,946 : x
  2. Step 2: Convert to fraction form
    75,194/112,791 = 25,946/x
  3. Step 3: Cross multiply
    75,194x = 112,791 × 25,946
  4. Step 4: Simplify right side
    75,194x = 2,926,475,286
  5. Step 5: Solve for x
    x = 2,926,475,286/75,194
  6. Step 6: Final answer
    x = 38,919

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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.