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Finding the Fourth Proportional to 47,954.25, 71,904.24 and 32,978.97

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Solution

The fourth proportional to 47,954.25, 71,904.24 and 32,978.97 is: 49,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.25 : 71,904.24 = 32,978.97 : x
  2. Step 2: Convert to fraction form
    47,954.25/71,904.24 = 32,978.97/x
  3. Step 3: Cross multiply
    47,954.25x = 71,904.24 × 32,978.97
  4. Step 4: Simplify right side
    47,954.25x = 2,371,327,773.83
  5. Step 5: Solve for x
    x = 2,371,327,773.83/47,954.25
  6. Step 6: Final answer
    x = 49,449.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.