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Finding the Fourth Proportional to 92,634.48, 127,836.02 and 50,193

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Solution

The fourth proportional to 92,634.48, 127,836.02 and 50,193 is: 69,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,634.48 : 127,836.02 = 50,193 : x
  2. Step 2: Convert to fraction form
    92,634.48/127,836.02 = 50,193/x
  3. Step 3: Cross multiply
    92,634.48x = 127,836.02 × 50,193
  4. Step 4: Simplify right side
    92,634.48x = 6,416,473,477.34
  5. Step 5: Solve for x
    x = 6,416,473,477.34/92,634.48
  6. Step 6: Final answer
    x = 69,266.58

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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.