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Finding the Fourth Proportional to 49,104.56, 67,761.96 and 27,881

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Solution

The fourth proportional to 49,104.56, 67,761.96 and 27,881 is: 38,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,104.56 : 67,761.96 = 27,881 : x
  2. Step 2: Convert to fraction form
    49,104.56/67,761.96 = 27,881/x
  3. Step 3: Cross multiply
    49,104.56x = 67,761.96 × 27,881
  4. Step 4: Simplify right side
    49,104.56x = 1,889,271,206.76
  5. Step 5: Solve for x
    x = 1,889,271,206.76/49,104.56
  6. Step 6: Final answer
    x = 38,474.46

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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.