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Finding the Fourth Proportional to 50,310, 69,430.08 and 27,954

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Solution

The fourth proportional to 50,310, 69,430.08 and 27,954 is: 38,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,310 : 69,430.08 = 27,954 : x
  2. Step 2: Convert to fraction form
    50,310/69,430.08 = 27,954/x
  3. Step 3: Cross multiply
    50,310x = 69,430.08 × 27,954
  4. Step 4: Simplify right side
    50,310x = 1,940,848,456.32
  5. Step 5: Solve for x
    x = 1,940,848,456.32/50,310
  6. Step 6: Final answer
    x = 38,577.79

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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.