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Finding the Fourth Proportional to 50,508.14, 69,699.12 and 27,537.46

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Solution

The fourth proportional to 50,508.14, 69,699.12 and 27,537.46 is: 38,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508.14 : 69,699.12 = 27,537.46 : x
  2. Step 2: Convert to fraction form
    50,508.14/69,699.12 = 27,537.46/x
  3. Step 3: Cross multiply
    50,508.14x = 69,699.12 × 27,537.46
  4. Step 4: Simplify right side
    50,508.14x = 1,919,336,729.04
  5. Step 5: Solve for x
    x = 1,919,336,729.04/50,508.14
  6. Step 6: Final answer
    x = 38,000.54

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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.