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Finding the Fourth Proportional to 50,097.96, 69,135.17 and 27,741.96

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Solution

The fourth proportional to 50,097.96, 69,135.17 and 27,741.96 is: 38,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,097.96 : 69,135.17 = 27,741.96 : x
  2. Step 2: Convert to fraction form
    50,097.96/69,135.17 = 27,741.96/x
  3. Step 3: Cross multiply
    50,097.96x = 69,135.17 × 27,741.96
  4. Step 4: Simplify right side
    50,097.96x = 1,917,944,982.02
  5. Step 5: Solve for x
    x = 1,917,944,982.02/50,097.96
  6. Step 6: Final answer
    x = 38,283.89

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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.