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Finding the Fourth Proportional to 50,191.29, 69,262.97 and 27,835.29

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Solution

The fourth proportional to 50,191.29, 69,262.97 and 27,835.29 is: 38,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,191.29 : 69,262.97 = 27,835.29 : x
  2. Step 2: Convert to fraction form
    50,191.29/69,262.97 = 27,835.29/x
  3. Step 3: Cross multiply
    50,191.29x = 69,262.97 × 27,835.29
  4. Step 4: Simplify right side
    50,191.29x = 1,927,954,717.03
  5. Step 5: Solve for x
    x = 1,927,954,717.03/50,191.29
  6. Step 6: Final answer
    x = 38,412.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.