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Finding the Fourth Proportional to 47,766.46, 65,912.47 and 27,620.29

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Solution

The fourth proportional to 47,766.46, 65,912.47 and 27,620.29 is: 38,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,766.46 : 65,912.47 = 27,620.29 : x
  2. Step 2: Convert to fraction form
    47,766.46/65,912.47 = 27,620.29/x
  3. Step 3: Cross multiply
    47,766.46x = 65,912.47 × 27,620.29
  4. Step 4: Simplify right side
    47,766.46x = 1,820,521,536.02
  5. Step 5: Solve for x
    x = 1,820,521,536.02/47,766.46
  6. Step 6: Final answer
    x = 38,112.97

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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.