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Finding the Fourth Proportional to 49,793.82, 68,714.82 and 27,133.74

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Solution

The fourth proportional to 49,793.82, 68,714.82 and 27,133.74 is: 37,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,793.82 : 68,714.82 = 27,133.74 : x
  2. Step 2: Convert to fraction form
    49,793.82/68,714.82 = 27,133.74/x
  3. Step 3: Cross multiply
    49,793.82x = 68,714.82 × 27,133.74
  4. Step 4: Simplify right side
    49,793.82x = 1,864,490,060.03
  5. Step 5: Solve for x
    x = 1,864,490,060.03/49,793.82
  6. Step 6: Final answer
    x = 37,444.21

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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.