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Finding the Fourth Proportional to 50,277, 69,382.44 and 27,921

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Solution

The fourth proportional to 50,277, 69,382.44 and 27,921 is: 38,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,277 : 69,382.44 = 27,921 : x
  2. Step 2: Convert to fraction form
    50,277/69,382.44 = 27,921/x
  3. Step 3: Cross multiply
    50,277x = 69,382.44 × 27,921
  4. Step 4: Simplify right side
    50,277x = 1,937,227,107.24
  5. Step 5: Solve for x
    x = 1,937,227,107.24/50,277
  6. Step 6: Final answer
    x = 38,531.08

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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.