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Finding the Fourth Proportional to 47,868.52, 71,867.74 and 33,041

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Solution

The fourth proportional to 47,868.52, 71,867.74 and 33,041 is: 49,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,868.52 : 71,867.74 = 33,041 : x
  2. Step 2: Convert to fraction form
    47,868.52/71,867.74 = 33,041/x
  3. Step 3: Cross multiply
    47,868.52x = 71,867.74 × 33,041
  4. Step 4: Simplify right side
    47,868.52x = 2,374,581,997.34
  5. Step 5: Solve for x
    x = 2,374,581,997.34/47,868.52
  6. Step 6: Final answer
    x = 49,606.34

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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.