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Finding the Fourth Proportional to 50,503.65, 69,691.90 and 27,841.47

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Solution

The fourth proportional to 50,503.65, 69,691.90 and 27,841.47 is: 38,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,503.65 : 69,691.90 = 27,841.47 : x
  2. Step 2: Convert to fraction form
    50,503.65/69,691.90 = 27,841.47/x
  3. Step 3: Cross multiply
    50,503.65x = 69,691.90 × 27,841.47
  4. Step 4: Simplify right side
    50,503.65x = 1,940,324,943.09
  5. Step 5: Solve for x
    x = 1,940,324,943.09/50,503.65
  6. Step 6: Final answer
    x = 38,419.50

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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.