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Finding the Fourth Proportional to 50,262, 75,398.16 and 13,326

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Solution

The fourth proportional to 50,262, 75,398.16 and 13,326 is: 19,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,262 : 75,398.16 = 13,326 : x
  2. Step 2: Convert to fraction form
    50,262/75,398.16 = 13,326/x
  3. Step 3: Cross multiply
    50,262x = 75,398.16 × 13,326
  4. Step 4: Simplify right side
    50,262x = 1,004,755,880.16
  5. Step 5: Solve for x
    x = 1,004,755,880.16/50,262
  6. Step 6: Final answer
    x = 19,990.37

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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.