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Finding the Fourth Proportional to 92,418.75, 127,537.92 and 49,977.27

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Solution

The fourth proportional to 92,418.75, 127,537.92 and 49,977.27 is: 68,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,418.75 : 127,537.92 = 49,977.27 : x
  2. Step 2: Convert to fraction form
    92,418.75/127,537.92 = 49,977.27/x
  3. Step 3: Cross multiply
    92,418.75x = 127,537.92 × 49,977.27
  4. Step 4: Simplify right side
    92,418.75x = 6,373,997,063.08
  5. Step 5: Solve for x
    x = 6,373,997,063.08/92,418.75
  6. Step 6: Final answer
    x = 68,968.66

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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.