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Finding the Fourth Proportional to 50,349.48, 69,484.26 and 27,993

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Solution

The fourth proportional to 50,349.48, 69,484.26 and 27,993 is: 38,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,349.48 : 69,484.26 = 27,993 : x
  2. Step 2: Convert to fraction form
    50,349.48/69,484.26 = 27,993/x
  3. Step 3: Cross multiply
    50,349.48x = 69,484.26 × 27,993
  4. Step 4: Simplify right side
    50,349.48x = 1,945,072,890.18
  5. Step 5: Solve for x
    x = 1,945,072,890.18/50,349.48
  6. Step 6: Final answer
    x = 38,631.44

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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.