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Finding the Fourth Proportional to 50,844, 76,266 and 13,908

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Solution

The fourth proportional to 50,844, 76,266 and 13,908 is: 20,862

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,844 : 76,266 = 13,908 : x
  2. Step 2: Convert to fraction form
    50,844/76,266 = 13,908/x
  3. Step 3: Cross multiply
    50,844x = 76,266 × 13,908
  4. Step 4: Simplify right side
    50,844x = 1,060,707,528
  5. Step 5: Solve for x
    x = 1,060,707,528/50,844
  6. Step 6: Final answer
    x = 20,862

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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.