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Finding the Fourth Proportional to 50,317, 69,439.08 and 27,961

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Solution

The fourth proportional to 50,317, 69,439.08 and 27,961 is: 38,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,317 : 69,439.08 = 27,961 : x
  2. Step 2: Convert to fraction form
    50,317/69,439.08 = 27,961/x
  3. Step 3: Cross multiply
    50,317x = 69,439.08 × 27,961
  4. Step 4: Simplify right side
    50,317x = 1,941,586,115.88
  5. Step 5: Solve for x
    x = 1,941,586,115.88/50,317
  6. Step 6: Final answer
    x = 38,587.08

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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.