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Finding the Fourth Proportional to 49,445.74, 68,218.77 and 27,932.50

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Solution

The fourth proportional to 49,445.74, 68,218.77 and 27,932.50 is: 38,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,445.74 : 68,218.77 = 27,932.50 : x
  2. Step 2: Convert to fraction form
    49,445.74/68,218.77 = 27,932.50/x
  3. Step 3: Cross multiply
    49,445.74x = 68,218.77 × 27,932.50
  4. Step 4: Simplify right side
    49,445.74x = 1,905,520,793.03
  5. Step 5: Solve for x
    x = 1,905,520,793.03/49,445.74
  6. Step 6: Final answer
    x = 38,537.61

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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.