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Finding the Fourth Proportional to 50,398, 69,548 and 27,737.44

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Solution

The fourth proportional to 50,398, 69,548 and 27,737.44 is: 38,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,398 : 69,548 = 27,737.44 : x
  2. Step 2: Convert to fraction form
    50,398/69,548 = 27,737.44/x
  3. Step 3: Cross multiply
    50,398x = 69,548 × 27,737.44
  4. Step 4: Simplify right side
    50,398x = 1,929,083,477.12
  5. Step 5: Solve for x
    x = 1,929,083,477.12/50,398
  6. Step 6: Final answer
    x = 38,276.98

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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.