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Finding the Fourth Proportional to 50,506.09, 69,697.11 and 27,844.55

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Solution

The fourth proportional to 50,506.09, 69,697.11 and 27,844.55 is: 38,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.09 : 69,697.11 = 27,844.55 : x
  2. Step 2: Convert to fraction form
    50,506.09/69,697.11 = 27,844.55/x
  3. Step 3: Cross multiply
    50,506.09x = 69,697.11 × 27,844.55
  4. Step 4: Simplify right side
    50,506.09x = 1,940,684,664.25
  5. Step 5: Solve for x
    x = 1,940,684,664.25/50,506.09
  6. Step 6: Final answer
    x = 38,424.77

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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.