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Finding the Fourth Proportional to 50,093, 69,130.52 and 27,737

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Solution

The fourth proportional to 50,093, 69,130.52 and 27,737 is: 38,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,093 : 69,130.52 = 27,737 : x
  2. Step 2: Convert to fraction form
    50,093/69,130.52 = 27,737/x
  3. Step 3: Cross multiply
    50,093x = 69,130.52 × 27,737
  4. Step 4: Simplify right side
    50,093x = 1,917,473,233.24
  5. Step 5: Solve for x
    x = 1,917,473,233.24/50,093
  6. Step 6: Final answer
    x = 38,278.27

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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.