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Finding the Fourth Proportional to 47,956.25, 71,907.24 and 32,980.97

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Solution

The fourth proportional to 47,956.25, 71,907.24 and 32,980.97 is: 49,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,956.25 : 71,907.24 = 32,980.97 : x
  2. Step 2: Convert to fraction form
    47,956.25/71,907.24 = 32,980.97/x
  3. Step 3: Cross multiply
    47,956.25x = 71,907.24 × 32,980.97
  4. Step 4: Simplify right side
    47,956.25x = 2,371,570,525.22
  5. Step 5: Solve for x
    x = 2,371,570,525.22/47,956.25
  6. Step 6: Final answer
    x = 49,452.79

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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.